Answer:
C
Step-by-step explanation:
From the midsegment theorem we can conclude that
QR = [tex]\frac{1}{2}[/tex] NP
Using QR = 3x + 2 and NP = 2x + 16, then
3x + 2 = [tex]\frac{1}{2}[/tex](2x + 16) = x + 8 ( subtract x from both sides )
2x + 2 = 8 ( subtract 2 from both sides )
2x = 6 ( divide both sides by 2 )
x = 3
As a check
QR = 3x + 2 = 3(3) + 2 = 9 + 2 = 11
NP = 2x + 16 = 2(3) + 16 = 6 + 16 = 22
Thus QR is one half NP is confirmed
