Which of the methods is a direct method for solving simultaneous algebraic equations Mcq?

Answers

Answer 1

Cramer’s rule is the direct method for solving simultaneous algebraic equations.

Algebraic Equation

Because polynomials are included on both sides of the equal sign, algebraic equations are sometimes referred to as polynomial equations. Variables, coefficients, constants, and algebraic operations like addition, subtraction, multiplication, division, and exponentiation are all components of an algebraic equation.

Cramer’s rule

One of the key techniques for solving a system of equations is Cramer's rule. In this approach, determinants of matrices are used to compute the values of the system's variables. Cramer's rule is frequently referred to as the determinant technique as a result.

Complete Question is given below

Which of the methods is a direct method for solving simultaneous algebraic equations?

a) Jacobi’s method

b) Relaxation method

c) Cramer’s rule

d) Gauss seidel method

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Related Questions

Consider the line =y+−54x4.
What is the slope of a line parallel to this line?
What is the slope of a line perpendicular to this line?

Answers

Considering the definition of parallel and perpendicular line, the parallel line has a slope of -54 and the perpendicular line has a slope of 1/54.

What is a linear equation

A linear equation o line can be expressed in the form y = mx + b

where

x and y are coordinates of a point.m is the slope.b is the ordinate to the origin.

Parallel line

Parallel lines are two lines that prolonged towards infinity never touch.

Two lines are parallel if they have the same slope.

Perpendicular line

Perpendicular lines are lines that intersect at 90° angles. If you multiply the slopes of two perpendicular lines, you get –1.

Slope of parallel line in this case

In this case, the line is y= -54x -4.

where:

the slope is -54.the ordinate to the origin is -4.

Since two lines are parallel if they have the same slope, the parallel line has a slope of -54.

Slope of perpendicular line in this case

If you multiply the slopes of two perpendicular lines, you get –1. So:

-54 × slope perpendicular line= -1

slope perpendicular line= (-1)÷ (-54)

slope perpendicular line= 1/54

The perpendicular line has a slope of 1/54.

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how to simplify and what the answer is

Answers

Answer: 27x^{2} y^{12}

Step-by-step explanation:

RemoveRemoveRemove parentheses and brackets by multiplying factors. ...

Use the exponent rule to remove grouping if the terms contain exponents. ...

Combine like terms by adding or subtracting coefficients. ...Combine

Combine the constants.

Simplifying an expression is just another way to say solving a math problem. When you simplify an expression, you're basically trying to write it in the simplest way possible. At the end, there shouldn't be any more adding, subtracting, multiplying, or dividing left to do.

tifanny catches a fish that weights 12.3 pound. Frank catches a fish that weighs 2.5 times as much as tifannys fish. how many pounds dies frank fish weight

Answers

Answer: 30.75

Step-by-step explanation: times is the key word

You multiply 12.3 and 2.5.

A scale model of a house uses a scale 1/4 (faction)
inch = 3 feet. If the model is 4.25
inches tall, what is the actual height of the
house?

Answers

Answer: The actual height of the house is 17 feet.

Step-by-step explanation:

The actual height of the house can be found by multiplying the model's height (4.25 inches) by the scale factor.

4.25 inches * 4 (3 feet/1/4 inch) = 17 feet.

So the actual height of the house is 17 feet.

A passenger train left Orlando traveling 60 mi/hr. After the train
had traveled 100 miles, a freight train started down a parallel
track at 80 mi/hr. Graph the system of linear equations. How long
after the freight train takes off will it catch the passenger train?
What distance had the trains traveled?
d=r.t
After how many hours will the freight train catch the passenger train?
How many miles had the trains traveled?

Answers

The 90 km distance between orlando and New York meant that the freight train was closer to the station in New York.

what is linear equations ?

A linear equation is one that satisfies the algebraic formula y=mx+b. The foregoing sentence is sometimes referred to as a "linear equation with two variables" because y and x are variables. Bivariate linear equations are two-variable linear equations. Examples of linear equations include 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, and 3x - y + z = 3. An equation is said to be linear if its formula is y=mx+b, where m denotes the slope and b the y-intercept. It is referred to as being linear when an equation has the form y=mx+b, where m stands for the slope and b for the y-intercept.

given

The New York to Boston train was traveling farther and quicker.

Even though it was delayed and moved more slowly, the train from Boston to New York is closer to New York.

1.5 hours from the New York station, the two trains crossed paths.

By this time, the passenger train from New York to Boston was 120 kilometers away from the station in New York.

The 90 km distance between orlando and New York meant that the freight train was closer to the station in New York.

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Use the information to answer the question.

Ana recycles a cookie tin to use for storing school supplies. The tin is a rectangular prism with a length of 14 centimeters, a width of 10 centimeters,

and a height of 4 centimeters.

What is the length of the longest pencil that can fit inside the tin? Enter the answer in the box. Round the answer to the nearest hundredth of

a centimeter.

Answers

he length of the longest pencil that can fit inside the tin is 17.6 cm.

Now, According to the question:

The tin is a rectangular prism with a length of 14 centimeters,

A width of 10 centimeters,

and a height of 4 centimeters.

To find the length of the longest pencil that can fit inside the tin.

Length of diagonal

[tex](10^2+14^2)^0^.^5=17.204[/tex]

Height of the box is 4

[tex]17.204^2+4^2=316^0^.^5=17.6 cm[/tex]

Hence, The length of the longest pencil that can fit inside the tin is 17.6 cm.

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if a rectangle possesses a width of 2inches and has a perimeter of 18 inches, then what is the length?

Answers

The length of the rectangle will be 7 inches, so that its perimeter will be 18 inches.

We have a rectangle with a width of 2 inches and perimeter of 18 inches. Perimeter is the total length of all the boundaries of a closed geometrical shape. So for a rectangle it will be the sum of all four sides. There are two equal and opposite sides.  

So, perimeter of a rectangle = l + l+ b+b = 2(l+b)

  Perimeter  = 18 inches and width = 2 inches. Substituting the values in the equation,

   P = 2 (l+b)

  18 = 2 (l+ 2)

 18/2 = l+ 2

 l = 9 - 2 = 7 inches.

So for a rectangle with a perimeter of 18 inches and width of 2 inches, the length will be 7 inches.

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6+ (-8)=

Add these numbers together

Answers

Answer: -2 !

Step-by-step explanation: All you have to do is simplify the equation !

Answer:

Step-by-step explanation:

The rule in adding unlike integers(integers with different signs) is to subtract the two integers and copy the sign of the bigger number. So     6 + (-8) = -2

variables are the characteristics of the individuals of the population being studied.

Answers

Inferential data uses strategies that take an end result from a pattern, increase it to a populace, and degree the reliability of the result. Variables are the traits of the individuals within the populace.

Inferential records use measurements from the pattern of topics within the experiment to examine the remedy agencies and make generalizations about the larger populace of subjects. there are numerous varieties of inferential facts and every one is suitable for a particular research design and sample characteristics.

Inferential statistics is a department of statistics that makes the usage of diverse analytical equipment to attract inferences approximately the population information from pattern facts. aside from inferential information, descriptive records form another branch of information.

Statistical inference is the procedure of the usage of facts evaluation to deduce houses of an underlying distribution of opportunity. Inferential statistical evaluation infers homes of a populace, for instance through testing hypotheses and deriving estimates.

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Complete Question:

_______ statistics uses methods that take a result from a sample, extend it to a population, and measure the reliability of the result.

Is the function x =- 1 even or odd?

Answers

The fucntion f (x) = - 1 is an even fucntion.

Write the given function as

[ f(x) = - 1 ]

To determine if the function is even or odd, the following steps apply:

If [ f( -x) = f (x) ] then the given function is even.

On the other hand if [ f(-x) = - f (x) ]

Now find f (-x),

[ f(- x) = - 1 ] which is equal to f(x).

Since [ f( -x) = f (x) ], therefore the given function is an even function as it meets the criteria to be an even function.

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One apple cost $7.50; one banana cost $2.45 less than the cost of an apple; and one mango is twice the cost of a banana. Find the total cost of an apple, a banana and a mango...

Answers

Apples cost one pence each, but bananas are one penny each.

3 apples and 5 bananas cost the same overall amount (3a + 5b).

How to find the calculation?

Martin has an x-year-old age.

Martin is three years Martin's junior in age.

Conor and Martin are each twice as old.

The age of Jennifer is x-3; b) the age of Connor is x; and c) the total of the three ages is x+2x+x-3 = 4x - 3

If Martin is 6 years old, Jennifer is 3 years old, and Conor is 12 years old, then 6+3+12 = 21, which is equivalent to 4 x 6 - 3 years, you may test that this is correct by trying it out.

All four sides add up to the perimeter. However, you can make it neater. Since every opposing side is the same as every other side, y + 3 + y + y + 3+ y = perimeter.

In addition, 2(2y+3) or 4y+6 = perimeter.

Nicole has a lot of marbles

Sean has 25 marbles.

Vicky has 10 marbles, thus y = 10 + 35 + 55 = total marbles, and y = 55 - 35 y = 20.

20 marbles belong to Nicola.

The Complete Question.

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Please help its finals

Answers

Player A is more consistent with less variance.

What is the standard deviation?

The standard deviation is a statistic that expresses how much variance or dispersion there is in a group of numbers. While a high standard deviation suggests that the values are dispersed over a wider range, a low standard deviation suggests that the values tend to be close to the mean.

Variance is the square of the standard deviation.

The mean number of runs for player A is,

(2 + 1 + 3 + 8 + 2 + 3 + 4 + 4 + 1)/9.

= 28/9.

= 3.11.

The variance is,

1/9[1.11² + 2.11² + 0.11² + 5.11² + 1.11² + 0.11² + 1.11² + 1.11² + 2.11²].

= 1/9[1.232 + 4.452 + 0.0121 + 26.112 + 1.232 + 1.232 + 4.452].

= 1/9[38.724].

= 4.30.

Similarly, the mean number of runs for player B is,

= 4.11.

The variance is,

= 1/9[3.11² + 0.11² + 1.11² + 2.11² + 0.11² + 1.11² + 1.11² + 6.11²].

= 6.13.

So, Player A is more consistent with less variance.

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Question 14 A hypothesis test involves a comparison of which two elements? Research results from a sample and a hypothesis about a population Research results from a population and a hypothesis about a sample Research results from a population and a hypothesis about the population Research results from a sample and a hypothesis about the sample

Answers

A hypothesis test involves comparing research results from a population with a hypothesis about the same population. It is used to determine if the results of the research support the hypothesis.

A hypothesis test is a statistical test used to evaluate a hypothesis about a population. It involves comparing research results from a population with a hypothesis about the population. The hypothesis test is used to determine if the results of the research support the hypothesis. If the research results do not support the hypothesis, then the hypothesis is rejected. The hypothesis test is a useful tool for making statistical inferences about a population based on a sample of that population. It is an important part of the scientific method and is used in fields such as psychology, economics, and biology. The test is based on the principles of probability and involves the use of statistical tests such as the t-test, chi-square test, and ANOVA. The results of a hypothesis test can help researchers make informed decisions about the data and can be used to develop theories, test hypotheses, and draw conclusions.

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Points A through H are translated to the right to create points A' through H'. All of the following are
rectangles: GHBA, FCED, KH'C'J, and LJE'A'. Which is greater, the area of blue rectangle DFCE or
the total area of yellow rectangles KH'C'J and LJE'A'?

Answers

The area of yellow rectangles KH'C'J and LJE'A' is greater than the area of blue rectangle DFCE. .

What is rectangle?

Rectangle is a flat, four-sided shape with four right angles and a pair of parallel lines. It is one of the most basic and commonly used shapes in geometry. It is also the most common shape used in architecture and construction. Rectangles have area, perimeter, and diagonal measurements, which makes them a useful tool for measuring and calculating. They are also used in a variety of other applications, such as designing window frames, creating art, and laying out floor plans.

To determine the area of DFCE, multiply the length of the base (DF) by the height (CE). The area of the two yellow rectangles, KH'C'J and LJE'A', can be determined by adding the area of each rectangle. The area of rectangle KH'C'J is equal to the product of the length of its base (KH') and the height (C'J). The area of rectangle LJE'A' is equal to the product of the length of its base (LJ) and the height (E'A'). Adding the areas of both yellow rectangles gives us the total area of both, which is greater than the area of blue rectangle DFCE.

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finding interior and exterior angles of polygon worksheet.
How do you solve these problems?

Answers

Interior angle of a polygon = (n-2) * 180 / n

Exterior angle of a polygon = 360 / n

How to translate coordinates?

To translate coordinates in a two-dimensional plane, you need to know the translation vector. A translation vector is a pair of numbers (a, b) that indicates the amount of movement in the x-direction and y-direction.

To translate a point (x, y) by the translation vector (a, b), you can use the following formulas:

x' = x + a

y' = y + b

Where x' and y' are the new coordinates of the point after the translation.

A translation is a transformation that moves a figure a certain distance in a certain direction without rotating or reflecting it. In this case, we are asked to translate the triangle EFG 2 units down. This means that we need to move the triangle down 2 units on the y-axis.

To translate a point (x, y) down 2 units, we can add -2 to the y-coordinate. The new coordinates of the point will be (x, y - 2).

The coordinates of E are (-4, 1), so the coordinates of E' after the translation are (-4, 1-2) = (-4,-1)

The coordinates of F are (-3,-2), so the coordinates of F' after the translation are (-3,-2-2) = (-3,-4)

The coordinates of G are (2, 1), so the coordinates of G' after the translation are (2,1-2) = (2,-1)

So the new coordinates for the triangle EFG' after the translation are:

E'(-4,-1)

F'(-3,-4)

G'(2,-1)

It's important to notice that the x-coordinates didn't change because we are only translating the triangle down, on the y-axis.

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What is the integration of log log x?

Answers

The integration of log log x is log(x)log(x) - x + C, where C is an arbitrary constant.

1. Start by taking the integral of log log x:

∫ log log x dx

2. Use integration by parts to solve the integral:

u = log log x

du = 1/x log x dx

dv = dx

v = x

∫ log log x dx = x log log x - ∫ x/x log x dx

3. Again use integration by parts to solve the remaining integral:

u = x

du = dx

dv = 1/x log x dx

v = log x

∫ x/x log x dx = x log x - ∫ log x dx

4. Use the power rule to solve the remaining integral:

∫ log x dx = x log x - x + C

5. Substitute the result from step 4 into the equation in step 2:

∫ log log x dx = x log log x - x log x + x - C

6. Rearrange the equation to get the final result:

∫ log log x dx = log(x)log(x) - x + C

The integration of log log x is log(x)log(x) - x + C, where C is an arbitrary constant.

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What equation results from completing the square and then factoring? x2 - 8x = 39.

Answers

Answer:

Factored equation: (x-4)² = 55

Solution set
x = 11.416 and x = -3.416

Step-by-step explanation:

Given equation is
x² - 8x = 39

We have to somehow get this equation in the form (x + a)² = b

(x + a)² = x² +2ax + a²

Comparing we get
2ax = -8x

==> a = -4

Add a² = (-4)² = 16 to both sides of x² - 8x = 39

==>  x²  - 8x +16 = 39 + 16

==> x²  - 8x +16 = 55

x²  - 8x + 16 = (x - 4)²

==> (x-4)² = 55

I think this is what they were asking, not exactly the solution to the original equation.

Nevertheless,

(x-4)² = 55

==> x - 4 = ±√55

==> x = 4 ± √55

==> x = 4 + √55 and x = 4 - √55 are the two roots

This works out to

x = 11.416 and x = -3.416

This is a 5th degree polynomial
How many total zeros are there?
How many real zeros are there?
How many imaginary zeros are there?

Answers

The total number of zeros in the 5th degree polynomial is given as follows:

5.

The number of real zeros in the 5th degree polynomial is given as follows:

3.

The number of imaginary zeros in the 5th degree polynomial is given as follows:

2.

How to obtain the number of zeros of the function?

For a function of the nth degree, the number of zeros is of n, hence a function of the 5th degree has five zeros.

The number of real zeros is the number of times that the graph of the function crosses the x-axis, hence it's number is given as follows:

3.

Then the number of imaginary zeros can be obtained as follows:

5 - 3 = 2.

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A vector with magnitude 5 points in a direction 55 degrees counterclockwise from the positive x axis.

Write the vector in component form.

Vector =


Submit Question

Answers

Answer:

A = |A| = 5 units. We know, negative Y-axis is an angle 270° counterclockwise with positive X-axis. θ = Angle of vector A with positive X-axis = (270°

Step-by-step explanation:

Which expression is equivalent to 5 Superscript 7 Baseline times 5 Superscript negative 5 Baseline?

Answers

The given expression is equivalent  to 125.

What is algebraic expression ?

Algebraic expression can be defined as the combination of variables and constants .

The given expression is

(5^-2) (5 ^ -1 )

The expression is about two powers with the same base, so we can use the power property of multiplication, which states that we must proceed we writing only one base and sum exponents

(5^-2) (5 ^ -1 )  = 5 ^ (-2-1)

= 5 ^ -3

= 1/(5*5*5)

Then, we use the negative exponent property

= 1/125

Finally, we solve the power

1/5*5*5 = 1/125

Therefore, the given expression is equivalent to 125.

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5. Write an equation with a solution of 25. Use the variable x and addition.

Answers

Answer: 5 times x  = 25

Step-by-step explanation:

What is the nearest 10 to 148?

Answers

Answer:

346755754564433677 t rr

Answer:
The nearest 10 to 148 = 150

I need help your supposed to write it into an equation and solve it

Answers

Answer:  542+(87+41) = 670

Step-by-step explanation:

please help: find the value of x​

Answers

The value of variable x in the coordinate plane is 3.

What is coordinate plane?

A coordinate plane is a two-dimensional plane that is created when two number lines cross. The x-axis, one of these number lines, is a horizontal number line, and the y-axis, another number line, is vertical. The coordinate plane is formed by the perpendicular intersection of these two number lines.

The reason the plane is referred to as two-dimensional is because any point on it to which you can put your finger will require two measurements to determine its location: its distance from the x-axis and its distance from the y-axis.

For negative integers, the left and bottom portions of the plane have negative x- and y-axes. The origin is the place where the number lines come together.

Given that ΑF =  FE

So if triangle DFE Transforms with F as centre and rotate E to become A

Then we will have an rectangle ACDF and E became A

In rectangle ACDF,

AC = FD

AC = 5x + 9

FD = 2(2x +6)

5x + 9 = 4x + 12

5x - 4x = 12 - 9

x = 3

Thus, the value of variable x in the coordinate plane is 3.

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What point on the Y axis is at equal distances from (- 5'2 and 3 2 )?

Answers

The point which is at  equal distance from y-axis to the given points           A(- 5,-2 )and B(3, 2 ) is given by ( 0,-2).

As given in the question,

Let us consider a point C(0 ,y) be the point on the y -axis.

Point C (0, y) is at the equal distance from point A(- 5,-2 )and B(3, 2 ).

AC = BC

⇒ √( y + 2 )² + ( 0 + 5)² = √( y - 2)² + ( 0 -3)²

Squaring both the sides we get,

⇒ y² + 4y + 4 + 25 = y² - 4y + 4 + 9

⇒ 8y = 9 - 25

⇒ y = -16 /8

⇒ y = -2

Therefore, the required point of y-axis which is at equal distance from the given points A and B is equal to ( 0, -2 ).

The above question is incomplete , the complete question is:

What point on the Y-axis is at equal distances from A(- 5,-2 )and B(3, 2 )?

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A line that intersects a segment at its midpoint and creates a 90 degree angle.

Answers

A perpendicular bisector is a line segment or a ray or a line that intersects a given line segment at a 90-degree, and also it passes through the midpoint of the line segment

At its midway, a segment bisector crosses another segment. A Perpendicular Bisector is a segment, ray, line, or plane that is perpendicular to another segment at its halfway.

A perpendicular bisector is a line that precisely splits a given line segment into two halves, generating a 90-degree angle at the junction point. A perpendicular bisector is a line segment that crosses through the midway. It can be built with a ruler and a compass.

When two lines cross at 90 degrees or at right angles, they are said to be perpendicular to each other. A bisector, on the other hand, is a line that divides a line into two equal halves.

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the product of three consecutive integers is -210. find the three integers

Answers

Answer: The three integers are x = -7, x+1 = -6 and x+2 = -5.

Step-by-step explanation:

We can set up the equation: x(x+1)(x+2) = -210, where x, x+1, and x+2 are the consecutive integers.

To solve for x, we can start factoring -210.

-210 = -1210 = -12105 = -1370 = -12514 = -12572

Since we are looking for three consecutive integers, we know that one of the factors must be -1 and the other two factors must be a pair of integers.

-1 * 2 * 5 * 7 = -70

-1 * 2 * 5 * 14 = -140

-1 * 3 * 7 = -21

So, the three integers are x = -7, x+1 = -6 and x+2 = -5.

Point Q is on line segment PR. Given PQ = 2 and QR = 14, determine the
length PR.

Answers

The length of PQ + the length of QR Equals the length of PR according to the segment addition rule because Q is the line segment so PR = 14

What is a line?

A line is an endlessly long object without breadth, depth, or curvature in geometry. Consequently, a line is a one-dimensional entity, while it may also exist in two-, three-, and more-dimensional regions. In common use, a line segment with two points serving as its ends is referred to as a line. A line is a single-dimensional, straight form with no thickness that can go on forever in both directions. To indicate that a line has no "wobble" anywhere along its length, it is frequently referred to as a straight line or an ancient accurate line (Casey 1893)

 Point Q is on line segment PR

PQ = 2 and QR = 14

The length of PQ + the length of QR Equals the length of PR according to the segment addition rule because Q is the line segment PR, so:

PQ + QR = PR ; 3 + 11 = P so PR = 14

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Which expressions are equivalent to 6g - 18h?
Choose 2 answers:

A. (g-3) ⋅ 6
B. 2⋅(3g−18h)
C. 2⋅(3g−18h)
D. (−g−3h)(−6)
E. −2×(−3g+9h)

Answers

Answer:

A. (g-3) ⋅ 6

Step-by-step explanation:

Explanation:

(g-3) ⋅ 6 = 6g - 18

E. −2×(−3g+9h)

Explanation:

-2×(−3g+9h) = -2(-3g+9h) = 2(3g - 9h) = 6g - 18h

given that kite ABCD is a quadrilateral with two pairs of consecutive congruent sides prove that AE is the median of triangle ABD

Answers

According to the problem the AE is the median of triangle ABD.

What is median?

Median is a statistical measure of central tendency that is used to measure the middle value in a given set of data. It is the middle value of a dataset when the data is arranged in an ascending or descending order.

Given: Kite ABCD has two pairs of consecutive congruent sides.
Proof: Since ABCD is a kite, it is a quadrilateral with two pairs of consecutive congruent sides, AB and CD. This implies that triangle ABD is isosceles since the two sides AB and BD are congruent.
In an isosceles triangle, the median is the line segment connecting the midpoint of the non-congruent side to the vertex that has the two congruent sides. Since AE connects the midpoint of side BD to vertex A, it is the median of triangle ABD.
Therefore, AE is the median of triangle ABD.

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High atmospheric stability could also be one of the factors in the typhoon formation Read the excerpt from the Supreme Court case Murr v. Wisconsin and answer the question.Property rights are necessary to preserve freedom, for property ownership empowers persons to shape and to plan their own destiny in a world where governments are always eager to do so for them. United States Supreme Court, Majority Opinion, Murr v. Wisconsin (2016)Based on the excerpt, which founding principle does the court's decision in this case best reflect?individual rightspersonal responsibilitychecks and balancesrule of law help please thank you progress: 3/5 groups question content area the ph dependence of the rate of the reaction catalyzed by the enzyme fumarase shows that the rate is very low at ph 5, it is maximal at ph 6.5, and it is very low at ph 9. this ph dependence is due to ionization of important amino acid residues in fumarase or in the substrate of the reaction, fumarate. true false i will put you the branily est.Minh is painting cars traveling on a highway in the distance. To make one car in particular stand out, Minh uses bolder colors and sharper lines. What principle of design is Minh using to draw the viewers eye to this car? A. balance B. contrast C. emphasis D. harmony write a few reasons why it may be difficult to reason about program performance when using a high-level language like python What are some problems the Irish faced when they arrived in America?Most immigrants from Ireland were Catholic and were denied some rights, so they decided to come to the United States. In 1845, Ireland's main food crop, the potato, stopped growing causing a famine. This food shortage forced about two million people to emigrate from Ireland. When they came to America, Irish men and women had no savings with little education. Men worked building railroads in very dangerous conditions where many died. Women became servants. They often had to fight for their jobs because they were competing with free African Americans. The Irish lived in cities where their ships had docked, filling up one quarter of the population in New York, Philadelphia, Boston, and Baltimore. What is a quotient example? bessie hendricks died this week in iowa. how old was she? Do some bacteria live symbiotically inside of the nematode? ( heart worm disease) Explain Find a positive angle that is coterminal to 1,028 that is between 0 and 360 The Unanimous Declaration of the Thirteen United States of America Please help me anwser these Comprehension Questions for the necklace. Thank you!1. Describe the main character. What details does the author provide to establishMathildes character?2. What does the husbands reaction to his wifes need for a new dress say about him?3. What does Mathilde hope to gain by telling her friend about the replacement of the necklace?4. "Do you believe that Mathilde will become less preoccupied with appearances after the revelation of the fake necklace? What textual evidence is there to suggest that she will or will not?"5. If the climax is at the loss of the necklace we can see that as a turning point in thedevelopment of the main character. If we see the climax as being where the originalnecklace is revealed as a fake, there is no such information. Which of these two options will have the greater effect on the reader? Tell why Theories typically rely on a single hypothesis tested several times; theories do not take into consideration multiple hypotheses. T/F? Sedia has been on holiday and has taken lots of photos. The memory in his camera is full and he needs to transfer his photos to an external storage device.Define what is meant by a secondary storage:State for characteristics of secondary storage devices that Sedia should consider when choosing a device. 32. For a certain firm, the marginal revenue product for the last unit of labor is $60, and the marginal revenue product for the last unit of capital is $100. Which of the following combinations of factor prices would be necessary for the firm to maximize profits? (2000T44) Price of Labor Price of Capital (A) 0$2 0$5 (B) 0$3 $20 (C) $10 $10 (D) 0$2 $25 (E) $60 $100 The point of intersection of concurrent lines is called the? Do you agree or disagree with the following statement? Parents are the best teachers. Use specific reasons and examples to support your answer. How the marketing management function of a business can monitor and address current consumer behaviour trends? What discussion questions would be good for motif of loss of innocence in secret life of bees?