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Mathematics 9 Online
OpenStudy (anonymous):

If ON = 5x − 6, LM = 4x + 4, NM = x − 9, and OL = 2y − 5, find the values of x and y for which LMNO must be a parallelogram. The diagram is not to scale.

OpenStudy (anonymous):

In a parallelogram, opposite sides are equal. So ON=LM and LO=MN ON =LM 5x-6 = 4x +4 x=10 MN=x-9 Substitute 10 for x MN=10-9 or 1 MN=LO 1=2y-5 6=2y 3=y

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