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Question

Solve for x. ABCD is a parallelogram. AE = 6x + 13, and EC = 8x – 3.


A

8

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B

13

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C

16

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D

cannot be determined

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Solution

The correct option is A

8


Since, ABCD is a parallelogram. Diagonals AC and BD bisect each other.

Hence, AE = EC

6x + 13 = 8x – 3

16 = 2x

x = 8 cm.


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