what is the sum of the interior angles of the polgon

Proportional relationship are used to represent direct variations.

The equation that represents the proportional relationship is [tex]y = \frac{28}{17}x[/tex]

From the question,

When x = 34, y = 56

So, the proportionality constant (k) is calculated as:

[tex]k = \frac yx[/tex]

This gives

[tex]k = \frac {56}{34}[/tex]

Reduce the fraction

[tex]k = \frac {28}{17}[/tex]

The proportional relationship is then calculated as:

[tex]y = kx[/tex]

This gives

[tex]y = \frac{28}{17}x[/tex]

Hence, the equation that represents the proportional relationship is [tex]y = \frac{28}{17}x[/tex]

Read more about proportional relationships at:

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Answer: 1 1/9x

Step-by-step explanation:

Answer:

x = -3.25

Step-by-step explanation:

2/5 = 0.4

0.4x - 0.2 = -2(3/4)

-2(3/4) = -2/1 * 3/4 = -6/4

0.4x - 0.2 = -6/4

Convert to fraction

2/5x - 1/5 = -6/4

Add 1/5 to both sides

-6/4 + 1/5 = -30/20 + 4/20 = -26/20

2/5x = -26/20

Convert to decimal

0.4x = -1.3

-1.3/0.4 = -3.25

x = -3.25

Answer:

180 X 2 + 1200 X 2= YOUR ANSWER

Step-by-step explanation:

I can't give you your answer but I hope this helps PLEASE MARK ME AS BRAINLIEST

Answer:

2760

Step-by-step explanation:

first you do 180x2 then 1200x2 and once you got both of those numbers you add them togeterr so 360+2400=2760

Answer:

  12.5°

Step-by-step explanation:

In any triangle, an exterior angle is the sum of the remote interior angles.

The exterior angle at the vertex angle of an isosceles triangle will be the sum of the two congruent base angles. Hence, each base angle is half the value of the exterior angle.

  25° = 2b

  b = 25°/2 = 12.5° . . . . the measure of each base angle

Answer:

i dont knowwwwwwwwwwww : D

Step-by-step explanation:

Answer:

one

Step-by-step explanation:

The answer to the given expression (-7) + b = (-11) is -4

(-7) + b = (-11) = -4

-7 + b = - 11

b = -11 + 7

b = -4

Learn more about evaluating expression:

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Exponential functions are functions defined by y = ab^x, where a represents the initial value, and b represents the rate

The initial population of the city is 10000, and the growth rate of the population is 4%.

So, the exponential equation is:

[tex]y = 10000 * 1.04^x[/tex]

The initial population of the city is 12000, and the decay rate of the population is 3%.

So, the exponential equation is:

[tex]y = 12000* 0.97^x[/tex]

The similarity in both equations is that, they both represent exponential function.

In (a) and (b), we have:

[tex]y = 10000 * 1.04^x[/tex] ---- city A

[tex]y = 12000* 0.97^x[/tex] --- city B

When city A exceeds city B, we have the following inequality

[tex]10000 * 1.04^x > 12000 * 0.97^x[/tex]

Divide both sides by 10000

[tex]1.04^x > 1.2 * 0.97^x[/tex]

Divide both sides by 0.97^x

[tex](\frac{1.04}{0.97})^x > 1.2[/tex]

[tex]1.07^x > 1.2[/tex]

Take the natural logarithm of both sides

[tex]\ln(1.07)^x > \ln(1.2)[/tex]

This gives

[tex]x\ln(1.07) > \ln(1.2)[/tex]

Solve for x

[tex]x > \frac{\ln(1.2)}{\ln(1.07)}[/tex]

[tex]x > 2.69[/tex]

This means that, the population of city A will exceed city B after 3 years

In (a) and (b), we have:

[tex]y = 10000 * 1.04^x[/tex] ---- city A

[tex]y = 12000* 0.97^x[/tex] --- city B

When city A is at least twice city B, we have the following inequality

[tex]10000 * 1.04^x \ge 2 * 12000 * 0.97^x[/tex]

[tex]10000 * 1.04^x \ge 24000 * 0.97^x[/tex]

Divide both sides by 10000

[tex]1.04^x \ge 2.4 * 0.97^x[/tex]

Divide both sides by 0.97^x

[tex](\frac{1.04}{ 0.97})^x \ge 2.4[/tex]

[tex]1.07^x \ge 2.4[/tex]

Take the natural logarithm of both sides

[tex]\ln(1.07)^x \ge \ln(2.4)[/tex]

This gives

[tex]x\ln(1.07) \ge \ln(2.4)[/tex]

Solve for x

[tex]x\ge \frac{\ln(2.4)}{\ln(1.07) }[/tex]

[tex]x\ge 12.9[/tex]

This means that, the population of city A will be at least twice city B after 13 years

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Answer:

−2=−2x^3

Step-by-step explanation:

10x3= 3x2−20x−6=(10x3⋅(3x2))(−20x−6)=−600x6−180x5x2=−600x6−180x5−2x⋅(2x2)=−4x3−2x⋅x2=−2x^3

−2=−2x3

2x^2=−2x^3

−2=−2x^3

Answer:

> The correct choice is C) x2 and −2

Step-by-step explanation:

> This is the only answer choice that makes sense in this equation.

Answer:

OP/PN = LM/MN

Step-by-step explanation:

We can prove triangle ONP is similar to LNM due to Angle-Angle similarity. Now, OP to LM = PN to MN. OP/LM = PN/MN, OP/PN = LM/MN

Answer:

h = 6 hours, A = $210

Step-by-step explanation:

The equation for Lady Luck Limousine's (LLL) total amount is A = 25h + 60, where h represents the hours.

The equation for Street Scene Limousine's (SSL) total amount is A = 35h.

To find the point at which the two services would be equal, we can use the equation 25h + 60 = 35h.

Solving for h = 6.

When we plug in 6 into either one of the equations, we get $210.

When 8203 is divided by 31 then the quotient is 264 and remainder is 2.

To divide 8203 by 31 and find the quotient with remainder, you can use long division.

8203 is the dividend.

31 is the divisor.

     264

  ___________

31 | 8203

     - 793

     _______

       273

      - 248

      ______

         250

        - 248

        ______

           2

The quotient is 264, and the remainder is 2.

Therefore, 8203 divided by 31 is 264 with a remainder of 2.

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#SPJ6

Answer:

Step-by-step explanation:

(8-2)*180=1080 degrees

114+66+94+259+94+67+254+97+x=1080

1045+x=1080

1080-1045=x

x=35

Answer:

Step-by-step explanation:

To solve using completing square, we need to write the equation as x2+3x=17.

The next step is to add a number such that the square can be completed. The number must be equal to (b/2a)^2, so here it will be (3/2)^2 = 9/4

The equation then becomes x2+3x+(9/4)=17+(9/4).

Solving it further will get you the final answer

If c is a constant, then

E[X - c] = E[X] - E[c]

… = E[X] - c

and

E[(X - c)²] = E[X² - 2cX + c²]

… = E[X²] - 2c E[X] + E[c²]

… = E[X²] - 2c E[X] + c²

Recall the definition of variance:

Var[X] = E[(X - E[X])²]

… = E[X² - 2X E[X] + E[X]²]

… = E[X²] - E[2X E[X]] + E[E[X]²]

… = E[X²] - 2E[X] E[X] + E[X]²

… = E[X²] - E[X]²

The standard deviation of X is 3.2, so Var[X] = 3.2² = 10.24.

By this definition,

Var[X - c] = E[(X - c)²] - E[X - c]²

but again because c is constant,

Var[X - c] = Var[X]

This is because

Var[X - c] = E[(X - c)²] - E[X - c]²

… = E[X² - 2cX + c²] - (E[X] - E[c])²

… = E[X²] - 2c E[X] + E[c²] - E[X]² + 2 E[X] E[c] - E[c]²

… = (E[X²] - E[X]²) - 2c E[X] + E[c]² + 2c E[X] - E[c]²

… = Var[X]

Then

10.24 = 3099.2 - E[X - c]²

⇒   E[X - c]² = 3088.96

⇒   E[X - c] = 55.5784

The answer is 10.2941176471

Hey there!

m(4 + 7)

= 1m(4 + 7)

DISTRIBUTE m WITHIN the PARENTHESES

= m(4) + m(7)

= 4(m) + 7(m)

= 4(1m) + 7(1m)

= 4m + 7m

COMBINE the LIKE TERMS

= 11m

Therefore, your answer is: 11m

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

b

Step-by-step explanation:

Answer:

42/46 or 21/23 or about a 91.3% chance

Step-by-step explanation:

Answer:

its 12 to 12

Step-by-step explanation:

its 12 to 12 because there is 12 blue shirts and the total is 12

Answer:

Tyrese's blue shirt is =12

Total shirts= 8+12+4 =24

12/24 =1:2

Answer:

t < 10.2

Step-by-step explanation:

Step 1: Add 6.2 to both sides.

Therefore, the answer is t < 10.2.

Have a lovely rest of your day/night, and good luck with your assignments! ♡

Answer:

10 days

Step-by-step explanation:

So if he/she already has 50$ we are going minus that from 250 (250-50) then divide 200 by 20 and that equals to the total amount of 10 days

y = 2x-8

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

Explanation:

Let's find the slope of the line through (2,7) and (4,11).

[tex](x_1,y_1) = (2,7) \text{ and } (x_2,y_2) = (4,11)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{11 - 7}{4 - 2}\\\\m = \frac{4}{2}\\\\m = 2\\\\[/tex]

The slope is 2.

Any line parallel to this current line will have the same slope, but different y intercept.

Choice B has the same slope (2), so this is why it's the final answer.

Answer:

x=12

y=6

Step-by-step explanation:

Let's first start by moving x and y to one side (I prefer having both variables on the same side and the other number on the other side):

3x-y=30

-3x+7y=6

Add the equations to eliminate x

6y=36

Divide both sides by 6

y=6

3x-30=6

Add 30 to both sides

3x=36

Divide both sides by 3

x=12

(x,y)=(12,6)

Answer:

AC=14.8 cm

Step-by-step explanation:

AC^2=AB^2 +BC^2 -2(AB×BC×cos(ABC))

AC^2=7^2 +10^2 -2(7×10×cos(120))

AC^2=219

AC=sqrt(219)= 14.8 cm

Answer:

$39,240

Step-by-step explanation:

a = annual earnings

a = 33000 + 8(15)

a = 33000 + 8(15)(52)

a = 33000 + 6240

a = 39240

Answer: i suggest you search it up

Step-by-step explanation:

Answer:

42

Step-by-step explanation:

let n = number of values

in this problem, n=2

now do 1/n to get:

1/2 = 0.5

Geometric Mean = (21 x 84)^0.5

= (1764)^0.5 which is the same as 1764^1/2 which is the same as [tex]\sqrt{1764}[/tex]

= 42

[tex]\qquad \qquad\huge \underline{\boxed{\sf Answer}}[/tex]

Sᴏʟᴜᴛɪᴏɴ Fᴏʀ Wᴇɪʀᴅ Tᴇᴇɴʏ ~

[tex] \qquad \sf  \dashrightarrow \: 4(5x - 2) = 2(9x + 3)[/tex]

[tex]\qquad \sf  \dashrightarrow \: 20x - 8 = 18x + 6[/tex]

[tex]\qquad \sf  \dashrightarrow \: 20x - 18x = 6 + 8[/tex]

[tex]\qquad \sf  \dashrightarrow \: 2x = 14[/tex]

[tex]\qquad \sf  \dashrightarrow \: x = 14 \div 2[/tex]

[tex]\qquad \sf  \dashrightarrow \: x = 7[/tex]

Therefore value of x is 7

By solving the linear equation, we will see that the solution is x = 7.

Here we need to solve the equation:

[tex]4*(5x - 2) = 2*(9x + 3)[/tex]

First, we should distribute the two products to get:

[tex]4*5x - 4*2 = 2*9x + 2*3\\\\20x - 8 = 18x + 6[/tex]

Now we move the terms with x to the left, and the terms without x to the right.

[tex]20x - 8 = 18x + 6\\\\20x - 18x = 6 + 8\\\\2x = 14\\\\[/tex]

Now we can divide both sides by 2 to get:

[tex]x = 14/2 = 7\\x = 7[/tex]

So the solution of the linear equation is x = 7.

If you want to learn more about linear equations, you can read:

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Answer: -4.9t^2+38t=0

Answer:

Step-by-step explanation:

We know that:

Solution:

Hence, the measure of x is 19.