Question

Write a simplified expression for the length of AC.

A X + 2 B
7x - 3
AC =
Write a simplified expression for the length of QR.
HELP ME PLASE

Answer 1

Answer/Step-by-step explanation:

Length of AC:

Given that AB = x + 2, and BC = 7x - 3, therefore,

`(x + 2) + (7x - 3) = AC` (segment addition postulate)

Simply the expression for the length of segment AC

`x + 2 + 7x - 3 = AC`

Collect like terms

`x + 7x + 2 - 3 = AC`

`8x - 1 = AC`

Length of QR:

Given that PQ = 8y + 5, and PR = 13y + 25, therefore,

QR = (13y + 25) - (8y + 5) (PQ + QR = PR)

Simplify the expression to for the length of segment QR

QR = 13y + 25 - 8y - 5

Collect like terms

QR = 13y - 8y + 25 - 5

QR = 5y + 20