Given DEFG above right is a parallelogram with diagonals DF and EG that intersect at C. If |DC| = x+y, |CF|= 10 cm, |EC| = 8 cm, and |CG|2x - y, find the values of x and y, and the lengths of diagonals DF and EG.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter4: Quadrilaterals
Section4.1: Properties Of A Parallelogram
Problem 3E: MNPQ is a parallelogram. Suppose that MQ=5, MN=8, and mM=1100. Find: a QP c mQ b NP d mP
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Given DEFG above right is a parallelogram with diagonals DF and EG that intersect at C. If |DC| = x+y, |CF|= 10 cm, |EC| = 8 cm, and |CG|2x - y, find the values of x and y, and the lengths of diagonals DF and EG.
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