Question

NEED HELP ASAP!!!!!!!!!!!

1. The two polygons are similar, HOMES ~ BRICK. The polygons are NOT drawn to scale.

a. Set up a proportion.

b. Solve for x showing ALL your work.

Answer 1

a.
`(x + 3)/(21)=(x + 1)/(15)`

b. x = 4 (see steps below)

Explanation:

Since the two polygons are similar, the sides are proportional to each other. Using a proportion, you can solve for 'x' using cross-multiplication and division:

`(smaller)/(larger)=(x + 3)/(21)=(x + 1)/(15)`

Cross-multiply: 15(x + 3) = 21(x + 1)

Distribute: 15x + 45 = 21x + 21

Subtract '15x' from both sides: 15x + 45 - 15x = 21x + 21 - 15x or 45 = 6x + 21

Subtract '21' from both sides: 45 - 21 = 6x + 21 - 21 or 24 = 6x

Divide by 6 on both sides: 24/6 = 6x/6

Solve for x: x = 4