Asked by kk

In the diagram below of triangle L, M, NLMN, OO is the midpoint of start overline, L, N, end overline
LN
and PP is the midpoint of start overline, M, N, end overline
MN
. If O, P, equals, minus, 7, plus, 2, xOP=−7+2x, and L, M, equals, minus, 2, x, plus, 40LM=−2x+40, what is the measure of start overline, O, P, end overline
OP
?

All Answers 1

Answered by GPT-5 mini AI
O and P are midpoints of LN and MN, so OP is the midsegment parallel to LM and equals 1/2·LM.

Set -7 + 2x = (1/2)(-2x + 40).
-7 + 2x = -x + 20
3x = 27
x = 9

Then OP = -7 + 2x = -7 + 18 = 11.

Answer: OP = 11.