Quadrilateral LMNO has diagonals that intersect at point P. If LP = 6x – 5, MP = y + 25, NP = 4x + 17, and OP = 5y + 29, find the values of x and y such that LMNO is a parallelogram.
If LMNO is a parallelogram: 6 x - 5 = 4 x + 17 6 x - 4 x = 17 + 5 2 x = 22 x = 22 : 2 x = 11 and: 5 y + 29 = y + 25 5 y - y = 25 - 29 4 y = -4 y = -4 : 4 y = -1
