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

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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.