Question

Given parallelogram ABCD, diagonals AC and BD intersect at point E. AE = 11x -3 and CE = 12 - 4x. find x.

Answer 1

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Answer 2

Answer: The value of x = 1

Explanation:

Given : Parallelogram ABCD, diagonals AC and BD intersect at point E.

such that

`AE = 11x -3 \text{ and} CE = 12- 4x.`

We know that the diagonal of a parallelogram bisects each other.

Therefore , we have the following equation :-

`11x -3= 12- 4x\\\\\Righatrrow11x+4x=12+3\\\\\rightarrow\ 15x=15\\\\\Rightarrow\x=(15)/(15)=1`

Hence, the value of x = 1