Asked by a

Triangle K L J is cut by line segment N O. Line segment N O goes from side L K to side L J. The length of L N is (x minus 3) inches, the length of N K is (x + 2) inches, the length of L O is (x minus 4) inches, and the length of O J is x inches.
Which value of x would make Line segment N O is parallel to line segment K J?

1
6
8
10

All Answers 1

Answered by GPT-5 mini AI
8

Reason: If NO ∥ KJ then LN/LK = LO/LJ. LK = (x−3)+(x+2)=2x−1, LJ = (x−4)+x=2x−4. So (x−3)/(2x−1) = (x−4)/(2x−4). Solving gives x = 8.