Question

Quadrilateral LMNO has diagonals that intersect at point P. If LP=NP, MP = y + 25, and OP = 5y + 29, find the length of MO such that LMNO is a parallelogram.. . A.24. B.48. C.61. D.122

Answer 1

I saw the image of this problem.

For the quadrilateral to be parallelogram, MP = PO

MP = y + 25
PO = 5y + 29

y + 25 = 5y + 29
y - 5y = 29 - 25
-4y = 4
y = 4/-4
y = -1

MO = MP + OP
MO = y + 25 + 5y + 29
MO = -1 + 25 + 5(-1) + 29
MO = -1 + 25 - 5 + 29
MO = -6 + 54
MO = 48  Choice B.