***HELP PLEASE*** Cheryl writes 7 fewer posts than Kevin on a social media site.
Answer the questions to write an algebraic expression. Then evaluate the expression for the
given value.

1.) Choose a variable to represent the number of posts Kevin writes. Explain why you chose this
variable.
Write your answer in the space below.

2.) Which operation (addition, subtraction, multiplication, or division) applies to this situation?
Justify your choice.
Write your answer in the space below.

3.) Use your variable and the operation you identified to write an expression for the number of
posts Cheryl wrote.
Write your answer in the space below.

4.) If Kevin wrote 21 posts, how many did Cheryl write?
Write your answer in the space below.

(b) 240

step-by-step explanation:

first, we use the pythagorean formula using the given side lengths to find x. then we use x to find the side lengths. then we add the side lengths to find the perimeter.

pythagorean theorem formula:

a^2 + b^2 = c^2

(x - 20)^2 + (x - 40)^2 = x^2

x^2 - 40x + 400 + x^2 - 80x + 1600 = x^2

x^2 -120x + 2000 = 0

(x - 100)(x - 20) = 0

x - 100 = 0 or x - 20 = 0

x = 100 or x = 20

we see that the solution x = 20 must be discarded because it will give a negative side length and a side length of 0. the only valid solution is x = 100.

perimeter = sum of the lengths of the sides

perimeter = x + x - 20 + x - 40

perimeter = 3x - 60

replace x with 100.

perimeter = 3(100) - 60

perimeter = 300 - 60

perimeter = 240

66.666666667%

step-by-step explanation:

divide 150 by 100

divide 100 by 1.5

there you go!

decreased by 33.333333334%