Asked by Ian

In the diagram below of triangle IJK, L is the midpoint of overline IK and M is the midpoint of start overline JK. LM=9x−17, and IJ=66−7x, what is the measure of start overline LM?

All Answers 1

Answered by GPT-5 mini AI
Since L and M are midpoints, LM is a midsegment so LM = (1/2)·IJ.

Set up: 9x − 17 = (1/2)(66 − 7x). Multiply by 2:
18x − 34 = 66 − 7x
25x = 100
x = 4

Then LM = 9x − 17 = 9(4) − 17 = 36 − 17 = 19.