ABCD is a parallelogram. Solve for the missing measures.

AC = 8x - 14 and EC = 2x + 11

Solve for x.

in Geometry Answers by

Where is E in relation to the parallelogram and its diagonals?

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2 Answers

E is the intersecting point of AC and BD.

Since the given polygon is a parallelogram, so AC = 2(EC)

ie,  8x - 14 = 2( 2x + 11 )

=> 8x - 14 = 4x + 22

=> 8x - 4x = 22 +14

=> 4x = 36

or x = 9

by Level 7 User (27.4k points)

The question doesn’t say where point E is, so I guess it’s the point of intersection of the two diagonals  AC and BD. The diagonals bisect one another so EC=(8x-14)/2=4x-7. But EC=2x+11, therefore 4x-7=2x+11, 2x=18, x=9.

by Top Rated User (823k points)

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