A transversal runs across two parallel lines, forming two angles. One measures 80 degrees. How large is the other angle

Answers

Answer 1

Answer:

100°

Step-by-step explanation:

180°- 80°= 100°

The angles are supplementary, meaning that they have to add up to 180.

Hope this helps!!! :)


Related Questions

a. When the relationship for a regression is positive, an X score above the mean will correspond to a Y score (above/below) the mean.b. When the relationship for a regression is negative, an X score above the mean will correspond to a Y score (above/below) the mean.

Answers

(a) For positive Linear Regression , Y score will be above mean .

(b) For negative Linear Regression , Y score will be below the mean .

What is Linear Regression ?

The term Linear regression analysis is used to predict the value of one  variable based on the value of another variable.

Part(a)

when the relationship of regression between two variables is positive then if one variable increase the other variable also increases ,

So , if the the x score is above the mean then the Y score will be also above the mean .

Part(b)

when the relationship of regression between two variables is negative then if one variable increase the other variable decreases ,

So , if the the x score is above the mean then the Y score will be below the mean .

Therefore , (a) Y score will be above the mean .

(b) the Y score will be below the mean .

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Problem Situation: Ike has $126 in his bank account. He gets $20 for his birthday.
He also has a part-time job that pays $8 per hour. How many hours will he need to
work to have $250 in his bank account?
.

Answers

Answer: 13h

Step-by-step explanation:

126 + 20 = 146
250 - 146 = 104
104 : 8 = 13

He will need 13h

Answer:

13.5

126 plus 20 is $146

250 minus 146 is 108

108 divided by 8 is 13.5

Find the value of zα.
Z0.47

Answers

The critical probability of a critical value of α = 0.47 is [tex]Z_{0.47}[/tex] = 0.77.

What is the critical value?

A crucial value is the test statistic's value that establishes a confidence interval's upper and lower boundaries, or the level of statistical significance for a given test.

Given:

The critical value, α = 0.47

Calculate the critical probability by the formula given below,

[tex]Z_\alpha = 1 - ( \alpha / 2)[/tex]

[tex]Z_{0.47}[/tex] = 1 - (0.47 / 2)

[tex]Z_{0.47}[/tex] = 1 - 0.235

[tex]Z_{0.47}[/tex] = 0.765 = 0.77

Therefore, the critical probability of a critical value of α = 0.47 is [tex]Z_{0.47}[/tex] = 0.77.

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A university has 25,000 students, of whom 10,000 are older than 25. The registrar draws a simple random sample of 400 students. a) Find the expected value and SE for the number of students in the sample who are older than 25. b) Find the expected value and SE for the percentage of students in the sample who are older than 25. c) The percentage of students in the sample who are older than 25 will be around _____, give or take _____ or so.

Answers

The expected value is 160 and SE for the number of students in the sample is 9.78

a)Given: students of which 25000 of which 10000 are older than 25 and 25000-10000=15000 are not older than 25.

we represent 400 students by drawing 400 tickets from a box that contains 15000 tickets labeled 0 and 10000 tickets labeled 1

Expected value and standard deviation of a box:

First, we determine the expected value of the box, which is the sum of all values on the tickets by the number of tickets.

[tex]expected value box=\frac{15000*0+10000*1}{25000}\\\\ =\frac{10000}{25000} =\frac{2}{5}[/tex]

expected value box=0.4

let us next determine the standard deviation using the shortcut formula:

SD=(big number-small number)*√fraction with small number*fraction with a small number.

[tex]SD=(1-0)*\sqrt{\frac{10000}{25000} *\frac{15000}{25000} \\\\SD=1*\sqrt{\frac{2}{5} *\frac{3}{5} } \\SD=1*\sqrt{\frac{6}{25} } =\frac{\sqrt{6} }{5}[/tex]

SD=0.4899.

Expected value sum=Number of draws*expected value box

                                  =400*0.4

Expected value sum=160

standard error of the sum is the product of the square root of the number of draws and the standard deviation of the box.

SE Sum=√number of draws*SD box

SE Sum=√400*0.4899

             =20*0.4899

 SE Sum=9.78

b)EXpected value and standard error:

The expected value of the percentage is the expected value of the sum divided by the number of draws.

Expected value percentage=Expected value sum/Number of draws*100%

                                               160/400*100

                                              =0.4*100%

Expected value percentage=400%

The standard error of the percentage is the standard error for the sum divided by the sample size:

SE%=SE for number/Number of draws*100%

         =9.798/400*100%

          =0.0245*100%

  SE% =2.45%

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URGENT!! ILL GIVE BRAINLIEST!!!! AND 100 POINTS!!!

Answers

the answer seems to be b

PLEASE HELP answer 6 and 7 best explanation gets brainliest

Answers

Answer:

Imma write it in the explanation

Step-by-step explanation:

6. interior angles, alternate angles

for c to be parallel with d, we need 2 and 7 to be interior angles (a+b=180°, u/c shaped), and 3 and 5 to be alternate angles (a=b, z shaped).

7. 1+3=180°, 2+4=180°

there were 2 parallel lines in a trapezium, so for the c shape on 1 and 3 they add up to 180°, and same thing to 2 and 4.

Find the missing number/s so that the equation has One solution.

Select all that apply.



__x + 3 = –4x + 17

a
2
b
5
c
7
d
-4

Answers

Answer: Choice A, Choice B, Choice C

In other words, it's nearly everything but choice D.

====================================================

Explanation:

Let's say we select "2" as the thing to fill the blank.

2x+3 = -4x+17

2x+4x = 17-3

6x = 14

x = 14/6

x = 7/3

We get one solution in this case.

The same applies for the values 5 and 7. I'll let you do those steps.

In contrast, if we filled the blank with -4, then,

-4x+3 = -4x+17

-4x+4x = 17-3

0x = 14

0 = 14

We get a contradiction which leads to "no solutions".

Visually, the equations y = -4x+3 and y = -4x+17 are parallel lines that never intersect. We need them to intersect if we want a solution. Recall that parallel lines have equal slopes but different y-intercepts. Both sides have a slope of -4 in this case.

Therefore, the quick rule of thumb is this: if the slopes are not equal, then the linear equation has exactly one solution.

which of the following statements is correct? one-way anova is the same as correlation, but different from two-way anova dependent t-test is the same as one-way anova, but different from independent t-testone-way anova is the same as one sample z-test, but different from paired samples t-test paired samples t-test is the same as dependent t-test, but different from one sample z-test

Answers

Option D is the correct answer. Paired samples t-test is the same as the dependent t-test, but different from one sample z-test.

The dependent t-test also called the paired t-test or paired-samples t-test compares which means the two related groups to determine whether there is a statistically significant difference between these means.

The T-test is defined as a univariate hypothesis test that is based on a t-statistic, On the other side, Z-test is also a univariate test that is based on a standard normal distribution.

There is a small comparison between the t-test and z-test:

T-test refers to a type of parametric test that is applied to identify, how the means of two sets of data differ from one another when variance is not given. Z-test implies a hypothesis test that ascertains if the means of two datasets are different from each other when variance is given.The T-test is Based on Student-t distribution whereas z-Test depends on Normal distributionThe Population variance of the t-test is Unknown and for the z-test, it is known, and the Sample Size is Small for the t-test for the z-test size is Large.

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5. Which of the following is true about the solution to the
system of equations?
3x - 2y = 10
2y = 3x - 16
4
A. The x-value of the solution is4/3
B. The y-value of the solution is -1.5.
C. There are infinitely many solutions to this system.
D. There is no solution to this system.
6
i

Answers

Answer:

D

Step-by-step explanation:

3x - 2y = 10 → (1)

2y = 3x - 16 → (2)

substitute 2y = 3x - 16 into (1)

3x - (3x - 16) = 10

3x - 3x + 16 = 10

16 = 10 ← not possible

this indicates the system has no solution.

There is no solution to this system. Therefore, option D is the correct answer.

What is a linear system of equations?

A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.

The given that the system of linear equations are

3x - 2y = 10 -------(i)

2y = 3x - 16

3x-2y=16 -------(ii)

Subtract equation (ii) from equation (i), we get

3x-2y-(3x-2y)=10-16

0≠4

Therefore, option D is the correct answer.

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help meeeeeeeeeee pleaseee

Answers

(a) The population of the state was 18.5 million in 2000. (b) The population of the state reaches 26.6 million by 2002

What do you mean by Population?

A population is a distinct collection of people, whether that group consists of a nation or a population that shares a particular trait. A population is the people from which a statistical sample is taken in statistics. As a result, a population can be defined as any group of people with something in common.

(a) The right response is 18.5

Given that

t = 0,

A = 18.5

(b) 2002.

Using the formula

18.5e 0.173 x t

Given,

A= 26.6

Then,

A = 18.5 x

[tex]e^{(0.1708t)} 26.6 = 18.5 x[/tex]

[tex]\frac{26.6}{18.5}= e^{(0.1708t)}[/tex]

[tex]1.437838 = e^{(0.1708t)}[/tex]

[tex]Ln \frac{1.437838}{0.1708}[/tex]

About

t = 2.126116

t =2

As a result, 2 represents the closest year when rounding down.

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i need helpp.....................

Answers

Answer is y = -2/3x -5 is your equation

Step by step

We are looking to write slope intercept form
y = mx + b

See attached graph for notes

By reading the graph we can see “b”
or y intercept is -5 where the line crosses the y axis

We can find slope “m” by choosing two points on the graph and counting rise over run = -2/3

So fill in your known values

y = -2/3x -5 is your equation

What is the slope of 0,0 and 1/3, 7/3

Answers

To find the slope of a line that passes through two points, you can use the formula:

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

In this case, the two points are (0,0) and (1/3, 7/3). Substituting these values into the formula, we get:

slope = (7/3 - 0)/(1/3 - 0)

slope = 7/3

Therefore, the slope of the line that passes through (0,0) and (1/3, 7/3) is 7/3.

Question 4
May use your own graph paper for this question. Show all algebraic work for full By graphing, find the coordinates of the vertices of the original triangle H L K, give midsegment triangle MNP are M(-1,3), N(4,0), P(-2,-2).

Answers

With the mid segment of the triangle MNP as M (-1, 3), N (4, 0), P (-2, -2) the coordinates of the triangle are

(-7, 1), (5, 5), and (3, -5)

How to find the coordinates of the triangle when the mid segment is known

The coordinates is calculated from the midsegment using the formula

X= (x₂ + x₁)/2

Y = (y₂ + y₁)/2

Vertex 1 and 2: point  M  (-1, 3),  

X

-1 = (x₂ + x₁)/2

-2 = x₂ + x₁

Y

3 = (y₂ + y₁)/2

6 = y₂ + y₁

Vertex 2 and 3:  point N (4, 0)

X

4 = (x₂ + x₃)/2

8 = x₂ + x₃

Y

0 = (y₂ + y₃)/2

0 = y₂ + y₃

Vertex 1 and 3:  point P(-2, -2)

X

-2 = (x₃ + x₁)/2

-4 = x₃ + x₁

Y

-2 = (y₃ + y₁)/2

-4 = y₃ + y₁

The equations

X

-2 = x₂ + x₁

8 = x₂ + x₃

-4 = x₃ + x₁

Y

6 = y₂ + y₁

0 = y₂ + y₃

-4 = y₃ + y₁

from -2 = x₂ + x₁, we find x₁ = -2 - x₂

plugging in x₁ = -2 - x₂ to -4 = x₃ + x₁ gives

-4 = x₃ + -2 - x₂

-2 = x₃ - x₂

then we have

8 = x₂ + x₃

-2 = x₃ - x₂

solving simultaneously

x₃ = 3, x₂ = 5 then x₁ = -2 - x₂ = -7

from 0 = y₂ + y₃, we find that y₂ = -y₃

plugging in y₂ = -y₃ into 6 = y₂ + y₁ gives

6 = -y₃ + y₁

then we have

-4 = y₃ + y₁

6 = -y₃ + y₁

solving simultaneously gives

y₁ = 1, y₃ = -5, then y₂ = -y₃ = -(-4) = 5

The vertex of the triangle are

(-7, 1), (5, 5), and (3, -5)

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Please help a lot of points!! Will put bainliest answer!

Answers

Answer:

I haven't got a real clue

Step-by-step explanation:

I did some learning about it, I may be wrong(most likely)

but I think it might be SAS.

The shape can be proven congruent.

if you can find an angle which I think is H and K then most likely SAS. If this is a test and is very important then don't listen to this I am most likely wrong

Marta found a website that sells her favorite style of coffee mugs. She writes the function C(m)=4.50 m+7, where C(m) represents the total cost of ordering m mugs, to decide how many mugs to order. Determine whether each statement about the features of the function is true or false in terms of the context.
The range is {y l y ≥ 11.5\}.
The domain is all real numbers.
The y-intercept is 4.5.
There is no x-intercept.
The rate of change is $ 4.5 per mug.

Answers

The true or false values of the statements are:

The range is {y l y ≥ 11.5\}: FalseThe domain is all real numbers: FalseThe y-intercept is 4.5: TrueThere is no x-intercept.: TrueThe rate of change is $4.5 per mug: True

How to determine the true statements from the scenario?

From the question, we have the following parameters that can be used in our computation:

C(m) = 4.50m + 7

The smallest number of mugs she can sell is 0

So, we have the following equation

C(0) = 4.50 * 0 + 7

Evaluate

C(0) = 0

This means that the range is y ≥ 0

Next, the domain cannot be all real numbers

This is because real numbers include negative and decimal numbers

For the y-intercept, we have

C(m) = 4.50m + 7

Set m to 0

y-intercept = 4.5 * 0 + 7

Evaluate

y-intercept = 7

For the y-intercept, we have

C(m) = 4.50m + 7

Set C(m) to 0

4.5 * x-intercept  + 7 = 0

Evaluate

x-intercept = -7/4.5 -- this cannot be taken as the x-intercept  because it is a negative number

Also, we have the slope to be 4.5

So, the rate of change is $4.5 per mug

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State whether each linear relationship is also a proportional correct box. Explain why or why not. If it does, writ form y=p x
Proportional relationship?
YES___
No___
Why?

Answers

y = p x is Proportional relationship.

What is proportional relationship?

Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other. That constant is know as the "constant of proportionality".

The answer depends on the equation given.

If the equation is in the form y=px, where p is a constant, then it is a proportional relationship. If the equation is in the form y=mx+b, where m and b are constants, then it is not a proportional relationship.

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One requirement can be met while the other fails. Show this by finding
(a) A set of vectors in R2 for which x+y stays in the set but 1/2x may be outside.
(b) A set of vectors in R2 (other than two quarter-planes) for which every cx stays in the set but x+y may be outside.

Answers

Forever c x stays in the set but x+y may be out side the set.

What is set?

A set comprises elements or members that can be mathematical objects of any sort, including numbers, symbols, points in space, lines, other geometric forms, variables, or even other sets. A set is the mathematical model for a collection of various things.

a consider the set of vectors in [tex]$\mathbb{R}^2$[/tex]

[tex]A=\left\{\left(x_1, x_2\right) \in \mathbb{R}^2 \mid x_2 \geqslant 2\right\} .$$[/tex]

where[tex]$x=\left(x_1, x_2\right)$[/tex]

Then for any [tex]$x=\left(x_1, x_2\right), y=\left(y_1, y_2\right) \in A$[/tex]

ere that[tex]$x+y=\left(x_1+y_1, x_2+y_2\right) \in A\left(\right.$ Since $x_2+y_2 \geqslant 2+2$[/tex]

But take [tex](4,2) \in A$.[/tex]

Then [tex]\frac{1}{2}(4,2)=(2,1) \notin A$.[/tex]

ce. [tex]$\frac{1}{2}(4,2)$[/tex] belongs outside the set

i.. I some vectors in A such that[tex]\frac{1}{2} x \notin A$[/tex].

b Consider the set of vectors in [tex]$\mathbb{R}^2$[/tex]

[tex]A=\left\{\left(x_1, x_2\right) \in \mathbb{R}^2 \mid \begin{array}{ll}\frac{1}{2} x_1 \leq x_2 \leq \frac{3}{2} x_1 & \text { if } x_1 \geqslant 0 \\\frac{3}{2} x_1 \leq x_2 \leq \frac{1}{2} x_1 & \text { if } x_1 < 0\end{array}\right\}$$[/tex]

The geometrical representation of this set is

see that for any scalar [tex]$c, \quad c x=e\left(x_1, x_2\right) \in A$[/tex]. But if we take [tex](3,2) *(-2,3-3) \in A$ but $(3,2)+(-2,-3)=(1,-1) \& A$[/tex].

Thus forever c x stays in the set but x+y may be out side the set.

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There are 4 classrooms for fifth grade and 4 classrooms for sixth grade at a school. Each classroom has 20 students. A teacher is planning a field trip for some fifth and sixth grade students at this school. The teachers knows the following information:

90% of fifth and sixth grade students have permission to go on the trip.
4 teachers are going on the trip.
The school requires 1 parent volunteer for every 8 students going on the trip.
Part A

How many parent volunteers are needed to go on the trip? Show your work or explain your answer.
Enter your answer and your work or explanation in the space provided.

Answers

Answer:Żeby obliczyć ilu rodziców wolontariuszy potrzeba, najpierw trzeba obliczyć ile uczniów będzie brało udział w wycieczce. W klasie piątej jest 20 uczniów, z czego 90% ma pozwolenie na wyjazd, czyli 20 x 0,9 = 18 uczniów z piątej klasy pojedzie na wycieczkę. W klasie szóstej jest też 20 uczniów, z czego 90% ma pozwolenie na wyjazd, czyli 20 x 0,9 = 18 uczniów z szóstej klasy pojedzie na wycieczkę. Razem będzie 18 + 18 = 36 uczniów.

Szkoła wymaga 1 rodzica wolontariusza na każdych 8 uczniów, więc na 36 uczniów potrzeba 36/8 = <<36/8=4.5>>4,5 rodziców wolontariuszy. Ponieważ rodzice wolontariuszy trzeba wybrać całymi osobami, to potrzeba ich 5.

Odpowiedź: Potrzeba 5 rodziców wolontariuszy.

Step-by-step explanation:

Marta's family plans to sell their kitchen table and buy a new one. Marta originally wrote down the length of their old table as 1,602.5 centimeters. She realized she made a mistake and that the table has an actual length of 162.5 centimeters.

Which of the statements correctly compares the digits in the original measurement and the actual measurement?



A. The value of the digit 5 in the original measurement is 10 times the value of the digit 5 in the actual measurement.

B. Removing the digit 0 in the original measurement did not change the value of any digits in the actual measurement.

C. The value of the digit 1 in the actual measurement is 110 the value of the digit 1 in the original measurement.

D. The digit 6 has the same value in both the original measurement and the actual measurement.

Answers

The correct option is the value of the digit 1 in the actual measurement is 110 the value of the digit 1 in the original measurement. (option C)

What are the value of the digits in the measurement?

Here is the place value of each of the digits in the wrong table length :

1 = thousand

6 = hundred

0 = tens

2 = units

5 = tenth

Here is the place value of each of the digits in the actual table length :

1 = hundred

6 = tens

2 = units

5 = tenth

5 has the same value in both the wrong length and the right length.

The value of 6 in the actual measurement is ten times that of the wrong measurement .

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Music Company A charges a $ 15 membership fee and $ 0.75 each to download a song. Music Company B charges $ 0.90 each to
download a song with no membership fee.
a. For what number of songs will both companies charge the same amount? Justify your answer using mathematics.
____songs
You anticipate that you will download 150 songs. Which company should you choose if you want to spend the least amount of
money? Justify your answer using mathematics.

Answers

(i) At a total of 100 Songs the Charges for Company A and Company B will be Equal.

(ii) I would rather suggest to select Company A as the Total Charges to download 150 Songs is $127.5

What is Linear Equation in One Variable?

A linear equation is a one-variable equation of a straight line. The variable's only power is 1. Linear equations in one variable have the form ax + b = 0 and are solved using simple algebraic techniques.

Solution:

Let, Songs Downloaded be x

Total Charges of Company A = 15 + 0.75*x

Total Charges of Company B = 0.9*x

(i) Total Charges by Company A = Total Charges by Company B

15 + 0.75*x = 0.9*x

15 = 0.15*x

x = 100 songs

(ii) Charges by Company A to Download 150 Songs = 15 + 0.75 * 150

= 15 + 112.5 = $127.5

Charges by Company B to Download 150 Somgs = 0.9 * 150 = $135

I would rather suggest to select Company A as the Total Charges to download 150 Songs is $127.5

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8. What value of g makes the equation true? g + 4.3 = 7.2 A) 3.5 B) 2.9 C) 11.5 D) 10.1 ​

Answers

Answer - B

Explanation - You have to do the inverse operation to addition to find the value of g. This would be subtraction. So 7.2-4.3=2.9

I hope that helps :)

HELP THANK YOU SO MUCH

Answers

Answer:

x = 3

Step-by-step explanation:

Since ∠CAT = ∠DOG, ∠CAT = ∠DGO

Therefore AC = DO

8x - 6 = 3x + 9

8x - 3x = 9 + 6

5x = 15

x = 15/5

x = 3

What is the value of In e4

Answers

Answer:

Pie heysgeusuwhueywgyssyywyw

Billing charges for Microsoft 365 Commercial licensing. When a customer purchases a subscription and changes the amount during the subscription period, a full refund is credited then prorated for what was used. For example, if a customer purchased 2 subscriptions for the month of June at $15 each, the total charge for the month would be $30. If they decide to return one subscription 5 days later, the full $30 would be credited then a prorated charge for what was used would be applied. Credit $30 Charge $15 Charge $0.5 * 5 = $2.50 $15 / 30 = $0.5 p/day Total Charge $17.50 Total Credit $12.50 If a customer purchases 10 Microsoft 365 Business Premium licenses at $22 each per month, for a full year then 6 months later decides they only need 5 licenses for the remainder of the year, what would be the total charge and credit for the year?

Answers

The customer who purchases 10 Microsoft 365 Business Premium licenses at $22 each per month, for a full year, then 6 months later decides they only need 5 licenses for the remainder of the year, would pay a total charge of $1,980 with a credit of $660 for the year.

How are the total charge and credit computed?

The total charge the customer will pay is based on the difference between the total charge for the year and the prorated charge of credit for non-usage.

The charge per month for Microsoft 365 =  $22

The charge per month for 10 Microsoft 365 = $220 ($22 x 10)

The charge for 1 year for one Microsoft 365 = $264 (22 x 12)

The charge for 6 months for 10 Microsoft 365 = $1,320 ($220 x 6)

The charge for 12 months for 10 Microsoft 365 = $2,640 (220 x 12)

The prorated charge for 6 months for 5 Microsoft 365 returned = $660 ($2,640 x 5/10 x 6/12)

The initial total charge for the year = $2,640

The total credit for the year = $660

The total charge for the year = $1,980 ($2,640 - $660)

Thus, the customer will pay $1,980 after receiving a prorated credit for 5 returned licenses worth $660.

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0.2x + 2 = 0.2(4 - x)what is the solution of the equation?
show your work!!

Answers

Answer:

x = -3

Step-by-step explanation:

0.2x + 2 = 0.2(4 - x)

0.2x + 2 = 0.8 - 0.2x

0.4x = -1.2

x = -1.2/0.4

x = -3

What is the area of ΔOPQ if
a=18 b=17.5 and c=13.5

Answers

Answer:

Problem

Solution

Solve for the missing components of the triangle.

A

=

69.62591065

B

=

65.69947977

C

=

44.67460956

a

=

18

b

=

17.5

What is the variable in this expression?
4b + 2b + 1⁄4

Answers

Answer:

b

Step-by-step explanation:

a variable is an unknown number normally represented by a letter and in this case the variable is b

hopes this helps please mark brainliest

the answer is B, the rest are numbers

Determine whether y varies directly with x If so, find the constant of variation and write the function rule.
Does y vary directly with x?
No
Yes
What is the constant of variation? Select the correct choice and fill in any answer boxes in your choice below.
A. k=__ (Simplify your answer. Type an integer or a fraction.)
B. There is no constant of variation.
What is the function rule? Select the correct choice and fill in any answer boxes in your choice below.
A. y=_____
(Simplify your answer. Use integers or fractions for any numbers in the expression.)
B. There is no function rule.

Answers

The value of y varies directly with x, and the constant of variation is 3, and function rule y = 3x.

What is Direct Variation?

When one value is dependent on another i.e if one value increases with respect to another or if one value decreases with respect to another then we can say that the two quantities are in direct variation.

In simple words,  It is the relationship between two variables where one of the variables is a constant multiple of the other.

When two values a and b are varies directly then the relation between them can be shown as given below

=> a ∝ b

=> a = kb  here 'k' constant of variation

Here we have

x values    57   63   66  

y values    19    21    22  

Let's assume that y varies directly with x  

=>  y ∝ x

=>  y = kx ---- (1)  

Where k is the proportionality constant    

From (1)

We can write k = x/y

From the above calculations, if y varies directly with x then x/y must be a constant.

Now check whether the given value can give a constant

At  x = 57 and y = 19

[tex]= > \frac{x}{y} = \frac{57}{19} = 3[/tex]  

At  x = 63 and y = 21

[tex]= > \frac{x}{y} = \frac{63}{21} = 3[/tex]  

At  x = 66 and y = 22

[tex]= > \frac{x}{y} = \frac{66}{22} = 3[/tex]    

From the above calculation,

For given x and y values, x/y is always constant

Therefore,  

It is true that y varies directly with x, and the constant of variation is 3    

Here the function rule will be  y = x × constant of variation

=> y = 3x

Therefore,

The value of y varies directly with x, and the constant of variation is 3, and function rule y = 3x

Learn more about Direct Variation at

https://brainly.com/question/15785278

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For the function f(x) = 5(x - 5)7, find f-¹(x).

Answers

Answer:

Step-by-step explanation:

;oowgsvdsgg bss tr tbs

Answers

is that even a question bro?

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