I’ll give brainiest
Use the given information to find m∠A.

m∠D=121°
m∠A=​(2x)°
m∠B=(x+40)°

The value of the variables that make the matrix equation true include the following:

x = 5/7

y = 4/3

z = 13/5

In order for the given matrix equation to be true, the numerical values of the matrix on the left-hand side must be equal to the corresponding variables (elements) of the other matrix on the right-hand side.

This ultimately implies that, we would equate each of the required variables (elements) of the matrix on the right-hand side to the corresponding numerical values of the other matrix on the left-hand side as follows;

7x + 3 = 8

7x = 8 - 3

7x = 5

Variable, x = 5/7

9y - 4 = 8

9y = 8 + 4

9y = 12

Variable, y = 12/9

Variable, y = 4/3

5z - 5 = 8

5z = 8 + 5

5z = 13

Variable, z = 13/5

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The solution to the system of two equations is (x,y) = (10, -25.5).

An equation is a mathematical statement that two expressions are equal. It is written in the form of an equality sign, which is a line with two dots on either side. The expressions on either side of the equality sign represent the same value. Equations are used to solve problems, compare quantities, and describe relationships between variables. In addition, equations are often used to describe physical laws and scientific theories.

To solve the system of equations, one must first isolate the variables by subtracting one of the equations from the other. Subtracting equation 1 from equation 2 results in equation 2 having x terms on one side and y terms on the other.

3x + 4y = 19
-5x - 2y = -1

--------------------------------
-2x = -20

Now, solve for x by dividing both sides by -2.

x = 10

Next, substitute x = 10 into equation 1 and solve for y.

5x + 2y = −1
5(10) + 2y = -1
50 + 2y = -1
2y = -51
y = -25.5

Therefore, the solution to the system of two equations is (x,y) = (10, -25.5).

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2.8 : 2.1 is the  ratio of the government's expenses to its receipts for 2013.

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.

Given that  the government had about $2.1 trillion in receipts and $2.8 trillion in outlays (expenses) for 2013

We have to find the  ratio of the government's expenses to its receipts for 2013

The ratio is 2.8 by 2.1

2.8/2.1

1.333

Hence, 2.8 : 2.1 is the  ratio of the government's expenses to its receipts for 2013.

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The exponent form of given integer is equal to [tex]2^{5[/tex] with base 2 and exponent 5.

Exponents and powers are ways used to represent very large numbers or very small numbers in a simplified manner.

An exponent refers to the number of times a number is multiplied by itself.

We know from property of Exponents

[tex]a^m a^n= a^{m+n[/tex]

We have the number 32.

Then, the prime factorization of 32

32 = 2 x 2 x 2 x 2 x 2

     = [tex]2^{1+1+1+1+1[/tex]

     = [tex]2^{5[/tex]

So, the base is 2 and exponent is 5.

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Answer:

17

Step-by-step explanation:

Using the base angles theorem, [tex]x+4=4x+1 \implies x=1[/tex].

So, the perimeter is [tex]4(1)+1+1+4+7=17[/tex].

To find the percent of the mixture that is water, we need to divide the amount of water present in the mixture by the total amount of liquid in the mixture, and then multiply by 100.

We know that the total amount of liquid in the mixture is 52 oz and 13 oz of it is pure alcohol, so the rest of it is water.

Water = 52 oz - 13 oz = 39 oz

So, the percentage of the mixture that is water is:

(Water / Total) x 100 = (39 / 52) x 100 = 75%

To find the percent of the mixture that is alcohol, we need to divide the amount of alcohol present in the mixture by the total amount of liquid in the mixture, and then multiply by 100.

So, the percentage of the mixture that is alcohol is:

(Alcohol / Total) x 100 = (13 / 52) x 100 = 25%

Therefore, 75% of the mixture is water and 25% is alcohol.

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Answer:

Here is an example of a void method named updateNumSides that takes a RegularPolygon object and an integer as parameters and sets the number of sides of the polygon to the integer:

public class RegularPolygon {

   private int numSides;

   // other fields and methods

   public void updateNumSides(RegularPolygon polygon, int num) {

       polygon.numSides = num;

   }

}

You can test the method by calling it in the main method and passing a RegularPolygon object and an integer as arguments:

public static void main(String[] args) {

   RegularPolygon polygon = new RegularPolygon();

   updateNumSides(polygon, 6);

   System.out.println(polygon.getNumSides()); // should print 6

}

Note that the RegularPolygon class should have a getter method for the numSides variable.

It's important to comment or remove the main method before checking your code for a score.

Answer:

7°

Step-by-step explanation:

Since ABCD is a parallelogram, AB∥DC and AD∥BC

Now, AB∥DC and transversal BD intersects them.

∴∠ABD=∠BDC since alternate angles are equal.

⇒10x=60∘

⇒x=1060∘=6∘

And, AD∥BC and transversal BD intersects them.

∴∠DBC=∠ADB

⇒4y=28∘

⇒y=428∘=7∘

The result is indeed another rational expression that is 1/ (x²- 1)

Function is a type of relation, or rule, that maps one input to specific single output.

In mathematics, a function is an expression, rule, or law that describes the relationship between one variable (the independent variable) and another variable (the dependent variable) (the dependent variable). In mathematics and the physical sciences, functions are indispensable for formulating physical relationships.

We are given the two functions:

p(x) = (1)/(x + 1)

and q(x) = (1)/(x - 1)

And we want to perform the operation:

p(x) * q(x)

So, (1/x+1 )(1/x-1)

p(x) * q(x) = 1/(x + 1)(x - 1)

Simplify:

= 1/ (x²- 1²)

= 1/ (x²- 1)

The result is indeed another rational expression.

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Answer:

skew or parallel lines

Answer:

x = - 9

i have answered this question before

Answer:

x = -9

Step-by-step explanation:

Distribute them:

−5(x−3)=60

−5 + 15 =60

Now lets, subtract:

−5x+15=60

−5x + 15 − 15 = 60 − 15

Simplifying:

−5x+15−15=60−15

−5+15−15=60−15

Answer =

-9
hope it helps

The measure of angle D is 80°, angle E is 60° and angle F is 40°.

Angle sum property of triangle states that the sum of interior angles of a triangle is 180°.

From the given triangle DEF, the two exterior angles are 140° and 120°.

Here, 140°+m∠F=180°

m∠F=40°

120°+m∠E=180°

m∠E=180°-120°

m∠E=60°

By angle sum property of a triangle, we have

m∠D+m∠E+m∠F=180°

m∠D+60°+40°=180°

m∠D=80°

Therefore, the measure of angle D is 80°, angle E is 60° and angle F is 40°.

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Therefore , the solution of equation problem is the two numbers

are x = -2, y = 4.

A mathematical formula between the two statements is employed to denote equality when the equivalent letter (=) is utilized. The equivalence of numerous mathematical variables is demonstrated using algebraic equations, which are statements of fact. For instance, the expression data d + 6 = 12 separates the values document d + 6 or 12 with an equal sign. One can quantify the number of syllables that each sides of each symbol corresponds to. A symbol's meaning usually runs counter to itself.

Here,

Assume that x is the first integer and y is the second. From the information provided, we can infer that:

3x + 2y = 22

We also knew that the two numbers add up to 9, thus

x + y = 9

A technique like substitution can be used to determine the values for x and y. One equation can be solved for a single variable, and the solution can then be used as a stand-in for the other equation.

The initial equation for y is solvable as follows:

y = (22 - 3x)/2

Then, in the second equation, swap this expression for y:

x + (22 - 3x)/2 = 9

By condensing and figuring out x, we get at:

2x + 22 = 18

x = -2

Knowing x = -2 allows us to rewrite the first equation and determine y:

3(-2) + 2y = 22

y = 4

So the two numbers are x = -2, y = 4.

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The person who is right, given the diagram and the definition of supplementary angles, is Shawn.

If two angles sum up to 180 degrees, they are referred to as supplementary angles. When combined, supplementary angles make a straight angle (180 degrees).

However, it should be emphasized that the supplementary angles do not necessarily need to be close to one another. As a result, any two angles can be supplementary if their sum is 180 degrees.

The angles given of A and B are supplementary because their positioning is such that when they are summed, they will add up to 180 degrees. Shawn was therefore correct.

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The value of x in the isosceles triangle shown is √25/2, which simplifies to √52, √24 or √20.

Value is a term that can carry a variety of meanings, depending on the context in which it is used. Generally, value is an attribute of an object, idea, or belief that is seen as desirable or beneficial. In economics, value can refer to the amount of money something is worth, or the amount of goods or services that can be exchanged for it. In sociology, value can refer to a person's beliefs, morals, and customs. In mathematics, value can refer to a number or quantity.

In order to find the value of x in the isosceles triangle shown below, we can use the Pythagorean Theorem. The Pythagorean Theorem states that in a right triangle with sides a, b and c, a² + b² = c². In the triangle shown, two of the sides are equal, thus a = b. This means that the equation can be rearranged to a² + a² = c², which simplifies to 2a² = c². As the right angle side of the triangle is equal to 5, we can substitute it into the equation to get 2a² = 25. This equation can be further rearranged to a² = 25/2, or a = √25/2.

Therefore, the value of x in the isosceles triangle shown is √25/2, which simplifies to √52, √24 or √20.

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Answer:

1)2500

2)2.5x10^2

3)0.0025

4)2.5x10^-2

Step-by-step explanation:

the numbers are

2.5x10^2=250

0.0025

2.5x10^-2=0.025

2500

12 minutes long it will take her to complete the triathlon.

A division is a process of splitting a specific amount into equal parts.

Given that The race consists of a 2.4-mile swim

Tiffany can swim at an average pace of 1.8mph.

d=rt

t=d/r

time=2.4/1.8=1.33

Tiffany can ride  a 112-mile bike.

She rides her bike at an average of 18.8mph

t=112/18.2=6.15

tiffany runs 26.2 mile at an  average of 6.2 mph

t=26.2/6.2=4.23

We total the sum of the times to complete each of the three legs of the triathlon

1.33+6.15+4.23

12 minutes

Hence, 12 minutes long it will take her to complete the triathlon.

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Answer: Part 1: X*0.8 + 4 < 20

              Part 2: X<15

Step-by-step explanation:

PArt 1: Here, X represents the number of miles you can go and the inequality represents the total cost of the Uber ride, which is the cost per mile (0.8*X) plus the initial cost (4) is less than 20 dollars.

Part 2: Here, X represents the number of miles you can go and the inequality represents the total cost of the Uber ride. In this case, the inequality shows that the number of miles you can go is less than 15 miles, as this is the maximum number of miles you can travel and still spend less than $20.

Answer:

The inequality that represents the number of miles you can go if you have less than $20 to spend is:

X < (20-4)/0.8

X < 13.75

Where X is the number of miles you can travel.

The volume of the combined solid formed using a cone and a hemisphere 1488.67 cm³.

What is volume?

Each thing in three dimensions takes up some space. The volume of this area is what is being measured. The space occupied within an object's borders in three dimensions is referred to as its volume. It is sometimes referred to as the object's capacity.

is The total height of the solid = 49 cm

The slant height of the cone l = 35 cm

The radius of the base r = 7 cm

The radius of hemisphere = height of the hemisphere = 7 cm

Then height (h) of the cone = 49 - 7 = 42 cm

Now, find the volume of the cone.

Use the formula - πrl

= (22/7) × 7 × 35

= 770 cm³

Now, find the volume of the hemisphere.

Use the formula - (2/3)πr³

= (2/3) × (22/7) × (7)³

= (2/3) × 22 × 49

= 718.67 cm³

Then to find the volume of the solid use the formula -

volume of solid= volume of cone + volume of hemisphere

volume of solid = 770 + 718.67

volume of solid = 1488.67 cm³

Therefore, the volume of the solid is obtained as 1488.67 cm³.

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Answer:

170 METERS

Step-by-step explanation:

because 1millimeter is 5meter

34 multiplied by 5 = 170

Answer: 447

Step-by-step explanation:

solving it by BODMAS, first open bracket then multiply then subtract..2

3(153)-12 = 447

Therefore , the solution of the given problem of probability comes out to be precisely five of them is black is 33.04 percent.

Mathematics' field of probability theory is concerned with estimating the possibility that a claim is true or that a certain event will take place. Any number between 0 and 1, where 1 denotes certainty and 0 typically conveys possibility, may be employed to denote chance. A probability diagram displays the possibility that a specific event will occur. The numerals 0 and 1, ratios that range from 0% to 100%.

Here,

The number of intended results divided by the total number of outcomes is the definition of probability.

It is not crucial which buttons are selected in what order. Therefore, to answer this question, we apply the combinations formula.

Combinations formula: The number of distinct combinations of x items from the a set of n items, denoted by nCr, is determined by the formula below.

The desired results are: D= 10C5 * 6C4 = 3780.

Five of a total of ten black buttons

4 of a total of 6 brown buttons are available.

Overall results

=> T = 16C9 = 11440

nine of the total of sixteen buttons.

Probability: => P=3780/11440 =>P=0.3304

Probability that precisely five of them is black is 33.04 percent.

Therefore , the solution of the given problem of probability comes out to be precisely five of them is black is 33.04 percent.

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The filling of the table to get equivalent ratios is;

3/4 : 1/3

27/8 : 2/3

3: 4/3

1: 4/9

Equivalent ratios are defined as the ratios that are the same whenever they are compared. We can say that two or more ratios can be compared with each other to find out whether they are equivalent or not. For example, 5:10 and 20:40 are equivalent ratios.

From the given table, let us complete the equivalent ratios;

1) 3/4: 1/3

This can be expressed as;

(3/4)/(1/3) = 9/4

2) Let the unknown fraction be x and as such;

x: 2/3 = 9/4

Multiply both sides by 3/2 to get;

27/8

3) Let the unknown number be x and as such, we have;

3:x = 9/4

Cross multiply to get;

(4 * 3)/9 = 4/3

4)  Let the unknown fraction be x and as such;

1 : x = 9/4

Cross multiply to get;

(4 * 1)/9 = 4/9

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Answer: Choosing a smaller unit of measure is more meaningful because it allows for more precise measurements. When using a smaller unit of measure, such as millimeters instead of centimeters, or seconds instead of minutes, you are able to capture more detailed information about the measurement. For example, measuring something in centimeters may give you a rough idea of the size, but measuring it in millimeters will give you more detailed information, which can be especially important in scientific or technical fields. Additionally, choosing a smaller unit of measure can be more meaningful when making comparisons or performing calculations, as it allows for greater accuracy.

Step-by-step explanation:

Hopes this helps you for Tomorrow!!

The simplification is shown below. And the proofs are done step-wise.

The left-hand side and right-hand side of an equation can be separated into two separate sections. We abbreviate the equation's LHS and RHS. If both the LHS and the RHS have identical values, then we may state that the equation is true; otherwise, the equation does not hold for at least some real number values.

According to the R.H.S rule, two right triangles are said to be congruent if one right triangle's hypotenuse and one of its sides are equal to the hypotenuse and one of its sides of a second right triangle.

L.H.S

= [tex]\frac{cos(t)}{1 + sin(t)} - \frac{cos(t)}{1 - sin(t)}[/tex]

= [tex]cos (t) [\frac{1}{1 + sin(t)} - \frac{1}{1 - sin(t)}][/tex]

= [tex]cos (t) [\frac{1 - sin(t)-1 - sin (t)}{1^2 - sin^2(t)}][/tex]

= [tex]cos (t) [\frac{- 2sin (t)}{cos^2(t)}][/tex]

= [tex][\frac{- 2sin (t)}{cos(t)}][/tex]

= [tex]- 2 tan (t)[/tex] = R.H.S

Thus, L.H.S = R.H.S

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The probability of selecting a custard-filled donut followed by a lemon-filled donut is:

P(custard, lemon) = P(custard) * P(lemon | custard)

P(custard, lemon) = (2/3) * (5/23)

P(custard, lemon) = 10

What is the probability?

Probability is a measure of the likelihood that an event will occur. It is a number between 0 and 1, where 0 represents an impossible event, and 1 represents a certain event.

We can find the probability of selecting a custard-filled donut followed by a lemon-filled donut by multiplying the probability of selecting the first donut by the probability of selecting the second donut, given that the first donut was selected.

The probability of selecting a custard-filled donut is:

P(custard) = number of custard-filled donuts / total number of donuts

P(custard) = 16 / 24

P(custard) = 2/3

Given that a custard-filled donut was selected, the probability of selecting a lemon-filled donut next is:

P(lemon | custard) = number of lemon-filled donuts / total number of donuts remaining

P(lemon | custard) = 5 / (24-1) = 5/23

The probability of selecting a custard-filled donut followed by a lemon-filled donut is:

P(custard, lemon) = P(custard) * P(lemon | custard)

P(custard, lemon) = (2/3) * (5/23)

P(custard, lemon) = 10

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Using Distributive property, The difference between 6²/3 of ¹/20 and ¹/3 is 2/3.

The distributive property is the theory applied in this query. According to the distributive property, a number can be divided to each addend or subtractor in a total or difference of two numbers when it is multiplied by those sums or differences. In this case, the expression was made simpler by doing this. 6²/3 of ¹/20.

The steps for find the difference between 6²/3 of ¹/20 and ¹/3 are as follows

Step 1: 6²/3 of ¹/20 can be simplified to ½.

Step 2: Subtract ½ from ¹/3 to get the difference.

Step 3: ¹/3 - ½ = 2/3.

Therefore, the difference between 6²/3 of ¹/20 and ¹/3 is 2/3.

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A) The solution to the system of simultaneous equations is; (1, 3)

B) The number of hours from start that both will be at the same location is; 1 hour.

The solution to a graph of two simultaneous equations will be the point at which both lines intersect each other.

Now, we see from the graph that the coordinate of the point of intersection of both lines is; (1, 3)

Now, we see that the x-axis represents hours since start while y-axis represents miles from start. Thus;

The number of hours from start that both will have be at the same location which is when their y-values will be the same is 1 hour.

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Answer: 1 hour

Step-by-step explanation:

The factors of the polynomial are (-3x+4)(x-2)

A factor is a number that divides another number, leaving no remainder.

Given is a polynomial, -3x²+10x-8,

On factorization, we get,

= -3x²+10x-8

= -3x²+6x+4x-8

= -3x(x-2)+4(x-2)

= (-3x+4)(x-2)

Hence, the factors of the polynomial are (-3x+4)(x-2)

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The following options are correct which are mentioned in options,

1. ∠XYZ

2. Vector XY

4. line segment on a ray YW

An angle is a mathematical term, which we can define, when two straight lines or rays meet at a common endpoint. The common point is called the vertex of an angle. The word angle comes from a Latin word named ‘angulus,’.

Interior angles:- The inner angle made by the intersection of two polygonal sides.

Exterior angles:- The outer angle made by the intersection of two polygonal sides.

Given that,

One ray which has two points, Y & W

One line which has two points, X & Y

One line segment which has two points, Z & Y

So now,

1. ∠XYZ it indicates the angle between line and a segment

2. Vector YX indicates the magnitude and direction of segment YX

3.  ∠YXZ it is a wrong representation of angle between line and segment

4.  The  line segment on a ray YW it is also correct

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