L1 is parallel to L2, and therefore ​m∠t=m∠x​ and ​m∠w=m∠y​. Which can be used to show that the sum of the interior angles of the triangle is 180°? Responses A straight angle has a measure of 180°, so ​m∠t+m∠v+m∠w=180°​, and since m∠t=m∠x​ and m∠w=m∠y​, ​m∠x+m∠y+m∠v=180°​. A straight angle has a measure of , so ​m∠t+m∠v+m∠w=180°​, and since m∠t=m∠x​, , and m∠w=m∠y​, ​m∠x+m∠y+m∠v=180°​. Alternate interior angles are equal, so ​m∠t=m∠x​ and ​m∠w=m∠y​, and since ∠x and ∠y​ are supplementary, ​m∠x+m∠y+m∠v=180°.​Alternate interior angles are equal, so ​m∠t=m∠x​, , and ​m∠w=m∠y​, and since ∠x and ∠y​, , are supplementary, ​m∠x+m∠y+m∠v=180°.​ Since ​m∠t=m∠x​ and ​m∠w=m∠y​, and m∠v=90°​, the sum of the angles is ​m∠x+m∠y+m∠v=180°.​Since ​m∠t=m∠x​ and ​m∠w=m∠y​, and m∠v=90°​, the sum of the angles is ​m∠x+m∠y+m∠v=180°.​ The interior angles of a triangle are complementary, so since ​m∠t=m∠x​ and ​m∠w=m∠y​, ​m∠x+m∠y+m∠v=180°​. The interior angles of a triangle are complementary, so since ​m∠t=m∠x​, , and ​m∠w=m∠y​, ​m∠x+m∠y+m∠v=180°​.

The impedance of the series circuit is given as follows:

19 ohms.

To obtain the impedance, we must consider if the circuit is in series or parallel, as follows:

The impedances in this problem are given as follows:

6 ohms, 4 ohms and 9 ohms.

They are series, meaning that we can just add them to obtain the equivalent impedance, as follows:

6 ohms + 4 ohms + 9 ohms = 19 ohms.

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The values of x for which the above expression can become rational is -

[5, 14, 25]

We must convert a given number to decimal form in order to determine whether it is rational or irrational. If the decimal has repeated decimal patterns and is ending or nonterminating, the number is rational.

If not, it is illogical. However, if we look at the example of 5 = 2.2360679774997896409173..., we can see that it is non-terminating and lacks repeated decimal patterns. It is therefore an irrational number. Checking whether a number is a natural number, a whole number, an integer, or a fraction of integers is another method of determining whether it is rational. It is a rational number if it fits into one of these categories.

Given the expression is √x+11,

√a It cannot be expressed in the form of a ratio, So, it is an irrational number.

The value of x has to be something which upon adding 11, gives perfect square root, in order to become rational number.

So, the number that can have possible values is x ≥ 5; √x+11 = perfect square root.

The values of x for which the above expression can become rational is -

[5, 14, 25]

The value will be - √5 + 11 = √16 = 4

The value will be - √14 + 11 = √25 = 5

The value will be - √25 + 11 = √36 = 6

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The y-intercept of the equation is 5.

What are intercepts?

A point on the y-axis known as an intercept is where the line's slope passes.

X-intercept and Y-intercept are the two main intercepts. The line's x-intercept and y-intercept are located where the line crosses the x and y axes, respectively.

We are given two points (2, 11) and (3, 14).

First, we need to form the equation.

General form of a point slope form of equation is y-y₁=m(x-x₁)

Here, y₁= 11 and x₁= 2, y₂= 14 and x₂=3

Now, m = (y₂ - y₁) / (x₂ - x₁)

⇒m = (14 - 11) / (3 - 2)

⇒m = 3

Thus, we get the equation as y-11 = 3(x-2)

In order to find the y-intercept, we need to put x=0

So,

⇒y-11 = 3(0-2)

⇒y = -6 + 11

⇒y = 5

Hence, the y-intercept of the equation is 5.

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11^2 - 14x,-7y * x = -7x

-3x+5y =11

Distribute the -3x

-3x* 5y = 11^2

-3x * -11 = -14

Put it together

11^2 - 14x

x=y -7

Distribute the y

x * y = -7y

-7y * x = -7x

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[(2, 2), (4, 4), (6, 6), (8, 8)] is the only function among the options.

Functions is the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

Here,
(2, 2), (4, 4), (6, 6), (8, 8)  = Function   [relation ship is linear]

(0, 3), (3, 5), (5, 6),(8, 4)  = not function [relationship cannot be justified]

(1,2), (3, 3), (4, 8), (6, 3) = not function [relationship cannot be justified]

(3, 4) (5, 2), (5, 6), 7.3)  = not function [relationship cannot be justified]

Thus, (2, 2), (4, 4), (6, 6), (8, 8) is the only function among the options.

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Answer:

Q = 133

Step-by-step explanation:

x+13 + 10x+13 + 2x-2 = 180

13x+24 = 180

13x = 156

x = 12

mQ = 10(12) + 13

mQ = 120 + 13

mQ = 133

The result is. It indicates that there exist 17 units between the two points supplied as the answer to the given distance problem.

An object's travels are quantified by distance. Simply explained, distance, or t, is the amount of space an object covers within a specific period of time. Displacement is still the quickest route a moving object can travel. We frequently take into account the concepts of distance and motion.

Here,

the numbers (6, -3) & (2, -2)

The distance among points (a, b) and (c, d) is now

d= √(c-a)² + ( d- b) ( d- b) ²

Consequently, d= (-3+2)2 + (2-6)2

d= √ 1 + 16

d= √17

Therefore, there are 17 units between the two places.

As a result. The answer to the above distance calculation issue indicates that there are 17 units between the two points.

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Both parts of this question use the fact the angles opposite congruent sides in a triangle are congruent.

Part (a)

[tex]m\angle Q=\frac{180^{\circ}-40^{\circ}}{2}=70^{\circ}[/tex]

Part (b)

The triangle is equilateral, so [tex]m\angle M=60^{\circ}[/tex].

1.6 ounces of tin does the bar contain.

A ratio is a comparison between two amounts that is calculated by dividing one amount by the other. The quotient a/b is referred to as the ratio between a and b if a and b are two values of the same kind and with the same units, such that b is not equal to 0. Ratios are represented by the colon symbol (:). As a result, the ratio a/b has no units and is represented by the notation a: b.

Given:

Bronze is an alloy of tin and copper combined at a ratio of 8:2.

i.e., Ratio = tin : Copper= 8:2

let the common ratio be x.

So, tin = 8x and Copper= 2x

We have Bronze = 2 ounces then the amount tin the bar contain

= 8/10 x 2

= 0.8 x 2

= 1.6 ounce

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Answer:

2/3x - y + 1=0

Step-by-step explanation:

slope intercept form=ax+by+c=

y+3=2/3(x+6)=

y+3=2/3x+4=

2/3x-y+1=

The radical expression when written as an exponential expression is; 15  1/2

Radicand: The value or expression contained inside the radical symbol.An equation that uses radical expressions as radicands and contains variables is referred to as a radical equation.

A superscript number will be present in the 'V'-shaped portion of the symbol when the radical symbol is used to represent any root other than a square root.For instance, 3(8) denotes the cube root of 8.use the Product Property to imply a radical phrase.A perfect power of the index has the largest factor in the radicand.

The radical expression when written as an exponential expression is;

15  1/2

According to the law of indices, the square root of.A number is equal to that amount raised by a factor of two.

On this note, The radical expression √15 given can be written as an exponential expression to give; 15^1/2.

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The product of the polynomial [tex]\frac{6(x^{2} -1)(6x - 1)}{8(x+1)}[/tex] is [tex]\frac{18x^{2} - 21x + 3}{4}[/tex].

A polynomial is an equation that solely uses the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables. Variables are sometimes known as indeterminates. x² + 4x + 7 is an illustration of a polynomial with a single indeterminate x.

An algebraic expression known as a polynomial requires that all of its exponents be whole numbers. Any polynomial must have variable exponents that are non-negative integers. Although a polynomial contains variables and constants, we are unable to divide a polynomial by a variable.

The degree of a polynomial is the highest or biggest exponent of the variable in the polynomial. Using Descartes' Rule of Signs, the degree is used to calculate the greatest number of polynomial problem solutions.

The Polynomials is [tex]\frac{6(x^{2} -1)(6x - 1)}{8(x+1)}[/tex]

Simpliest form of the polynomial

[tex]\frac{6(x+1)(x-1)(6x - 1)}{8(x+1)} = \frac{6(x-1)(6x- 1)}{8} = \frac{3(6x^{2} -7x + 1)}{4} = \frac{18x^{2} - 21x + 3}{4}[/tex]

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Step-by-step explanation:

19can be factorised as ,

1× 19

19 × 1

All factors= 1 and 19

since it has only two factors 1 and the number itself so it is a prime number .

Numbers which have more than 2 factors ( 1 and the number itself) are called composite numbers .

And we are done!

- Rishabh

Answer: The factors of 19 are 1 and 19. 19 is a prime number.

Step-by-step explanation:

To find the factors of 19, we need to find all the whole numbers that can be multiplied to equal 19. The factors of 19 are 1 and 19. Since 19 only has two factors, 1 and 19, it is a prime number. To confirm this, we can also check if 19 is divisible by any numbers other than 1 and itself. Since it is not, we can conclude that 19 is a prime number.

Answer:

the slope is 2

Step-by-step explanation:

slope of line = (y2-y1/x2-x1)

-7-5/0-6

-12/-6

2

Step-by-step explanation:

Looks like the whole equation was

[tex]y = 2.5x + 3[/tex]

So it's asking to choose a random x value, well choose 2 I guess. You'll plug that in where X is

[tex]y = 2.5(2) + 3[/tex]

Now after we work this out, Y should equal 8 because that's the Y value right below 2 on the table. If it equals 8, then the equation is correct.

[tex]2.5 \times 2 = 5[/tex]

[tex]5 + 3 = 8[/tex]

Since it equaled 8, the equation has been confirmed to be correct

Step-by-step explanation:

y=2.5×2 +3

y=5.0+3

y=eight

1 2/3 times 2 1/4 times 3 is equals to 11 1/4.

Solution:

1 2/3 * 2 1/4 * 3 = 11 1/4

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1 2/3 times 2 1/4 times 3 is equals to 11 1/4.

A mixed fraction is a combination of a whole number and a fraction. It can also be referred to as a mixed number. It is written as a whole number followed by a fractional part, for example 3 3/5.

A mixed fraction can be used to represent a part of a whole or a part of a group. For example, if five people are sharing a pizza, the fraction 5/8 could be written as a mixed fraction as 0 5/8.

Mixed fractions can be solved by first converting the mixed fractions into an improper fraction. To do this, you multiply the whole number by the denominator of the fraction and add this to the numerator of the fraction. For example, the mixed fraction 3 3/5 could be written as an improper fraction as 18/5.

Once the fraction is in improper form, you can use standard fraction methods to solve it. For example, if you need to find the result of 2 3/4 + 5 5/8, you would first convert the fractions to improper fractions (11/4 + 29/8) and then add them together (40/8). To write the fraction in its simplest form, you can divide both the numerator and denominator by the greatest common factor (in this case 8), giving 5/1, or 5.

In summary, solving a mixed fraction requires converting it to an improper fraction, then solving it using standard fraction methods, and lastly simplifying it to its simplest form.

1 2/3 * 2 1/4 * 3 = 11 1/4

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The y axis shows a measurement in Kilograms (kg).

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The inverse of the function → f(x) = 2x + 5  is → f⁻¹(x) = (x/2) - (5/2).

Inverse of a function can be calculated by following the steps mentioned below -

According to the question, the equation given is as follows

y = f(x) = 2x + 5

y = 2x + 5

Replace 'y' with 'x', we get -

x = 2y + 5

Now, solve for y -

2y = x - 5

y = (x/2) - (5/2)

Replace 'y' with f⁻¹(x) -

f⁻¹(x) = (x/2) - (5/2)

Hence, the inverse of the function → f(x) = 2x + 5  is → f⁻¹(x) = (x/2) - (5/2).

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Answer: 7/9

Step-by-step explanation:

Therefore , the solution of the given problem of trigonometry comes out to be Tan θ  = - 0.577 and Cot θ = - 1.73.

Trigonometric and cubic spline relationships The fields of mathematics and astronomy were integrated around the third century BC, which is when the field is thought to have been formed. Precise mathematical techniques can be used to solve numerous geometric equations or determine the outcomes of calculations employing them. The study of the six fundamental trigonometric operations is known as trigonometry. They go by many different names and abbreviations, such as sine, divergence, angle, tangent, etc (csc).

Here,

Given :

=> Sin θ = 0.5

and Cos θ  = -0.866

Thus,

=> Tan θ  = Sin θ /Cos θ

=> Tan θ  = 0.5 / -0.866

=>  Tan θ  = - 0.577

and

=> Cot θ = 1 / Tanθ  

=>  Cot θ = 1/0.577

=> Cot θ = - 1.73

Therefore , the solution of the given problem of trigonometry comes out to be Tan θ  = - 0.577 and Cot θ = - 1.73.

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Answer:

Ur correct it is 6

Step-by-step explanation:

Answer:

x = 6 C

Step-by-step explanation:

x / 9 = 10 / 15

Multiply

15x equal 90

X = 90 / 15

X = 6

U get?

The system of equations is solved and the amount of 45 % copper is 34.74 pounds and the amount of 64 % copper alloy is 20.26 pounds

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the total amount of the third alloy = 55 pounds

So , the amount the 45 % of copper alloy = x

And , the amount of 64 % of copper alloy = ( 55 - x )

The percentage of amount of alloys is given by the equation ,

( 45/100 )x + ( 64/100 ) ( 55 - x ) = ( 52/100 ) 55

On simplifying the equation , we get

0.45x + 0.64 ( 55 - x ) = 0.52 ( 55 )

0.45x + 35.2 - 0.64x = 28.6

Subtracting 35.2 on both sides of the equation , we get

-0.19x = -6.6

Divide by 0.19 on both sides of the equation , we get

x = 34.736

x ≈ 34.74 pounds

Hence , the amount of 45 % of copper alloy is 34.74 pounds and the amount of 64 % copper alloy is 20.26 pounds

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WXYZ is a parallelogram.

A parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure.

here, we have,

The slope of both sides is needed in order to determine whether they are parallel

The slope of a line connecting two points is just the change in y over change in x.

so, we get,

WX

m_1 = (1 - 5)/(-2 -1)

m_1 = -4/-3

m_1 = 4/3

and,

YZ

m_2 = (2 +2)/(1+2 )

m_2 = 4/3

m_2 = m_1

The sides are parallel.

Hence, WXYZ is a parallelogram.

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Answer:

Ashley

Step-by-step explanation:

Lets understand the conditions.

Carlos < Ashley  < Brianna

David < Carlos

Clearly, this tells us that David < Carlos < Ashley < Brianna, meaning the order is

David, Carlos, Ashley, Brianna

Since Ashley was interviewed third, she is the first year student

Cheers

The solution of the system of equation 3x + y = 3, 5x - y = 15 is x = 9 / 4 and y = - 15 / 4.

System of equation can be solved using different method such as elimination method and substitution method.

Let's solve the system of equation by elimination method.

Therefore,

3x + y = 3

5x - y = 15

add the equations

8x = 18

divide both sides of the equation by 8

x = 18 / 8

x = 9 / 4

x = 2 1 / 4

Let's find y.

3x + y = 3

y = 3 - 3x

y = 3 - 3(9 / 4)

y = 3 - 27 / 4

y = 12 - 27/ 4

y = - 15 / 4

Therefore, the solution are x = 9 / 4 and y = - 15 / 4.

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The ratio of AP to PB is 3 to 2 then the point P exists (8, 2).

An area or portion of a line with two endpoints is known as a line segment. A line segment has a set length as opposed to a line. Both metric measurements, such as millimeters and centimeters, as well as conventional units, such as feet or inches, can be used to measure the length of a line segment.

An uncurved path with two ends is called a line segment. With points at either end, a line segment is drawn.

The arrowheads at both ends are used to portray it as a straight, lengthy, and continuous road. It stretches out both ways. The straight line that connects two places is called a line segment.

Since 3+2 = 5, we are dividing line segment AB into 5 congruent parts with point P 3/5 of the way from A to B.  

x-coordinate of P = x-coordinate of A + (3/5)(change in x from A to B)

= -4 + (3/5)(20) = 8

y-coordinate of P = y-coordinate of A + (3/5)(change in y from A to B)

= 8 + (3/5)(-10) = 2

P = (8, 2)

The complete question is:

find the coordinates of point p along the directed line segment ab with A(-4,8) and B(16,-2), so that the ratio of AP to PB is 3 to 2.

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Answer:5%

Step-by-step explanation:

Answer:

14=90

Step-by-step explanation:

You're on the right track with writing the measure of MK = angle N. To figure out angle N we can use the right angle sign right next to it (at LNK). We know that line JK is a straight line meaning it's angle = 180. Therefore, if LNK is 90 degrees, then N also has to be 90 degrees because 90+90=180. From there we know that the measure of MK = 90 due to MK and N being vertical angles.

I unfortunately can't help you with 16, but I hope I was able to help with 14