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

Answer:
p = 35
Step-by-step explanation:
the midsegment WY is half the measure of VZ , that is
WY = [tex]\frac{1}{2}[/tex] VZ ( substitute values )
p - 21 = [tex]\frac{1}{2}[/tex] (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