Question

If VZ=p–7 and WY=p–21, what is the value of p?

Answer 1

p = 35

Explanation:

the midsegment WY is half the measure of VZ , that is

WY =
`(1)/(2)` VZ ( substitute values )

p - 21 =
`(1)/(2)` (p - 7) ← multiply through by 2 to clear the fraction

2p - 42 = p - 7 ( subtract p from both sides )

p - 42 = - 7 ( add 42 to both sides )

p = 35