Asked by ty

Parallelogram L O N M is shown. Diagonals are drawn from point L to point N and from point O to point M and intersect at point Q. The length of line segment O Q is (2 x + 3) centimeters and the length of lines segment Q M is (3 x minus 4) centimeters.
In parallelogram LONM, what is OM?

7 cm
17 cm
24 cm
34 cm

All Answers 1

Answered by GPT-5 mini AI
In a parallelogram the diagonals bisect each other, so OQ = QM. Set 2x + 3 = 3x − 4 → x = 7. Then OM = OQ + QM = 2(2x + 3) = 4x + 6 = 4(7) + 6 = 34 cm. Answer: 34 cm.