Answer: The value of x = 1
Step-by-step explanation:
Given : Parallelogram ABCD, diagonals AC and BD intersect at point E.
such that
[tex]AE = 11x -3 \text{ and} CE = 12- 4x.[/tex]
We know that the diagonal of a parallelogram bisects each other.
Therefore , we have the following equation :-
[tex]11x -3= 12- 4x\\\\\Righatrrow11x+4x=12+3\\\\\rightarrow\ 15x=15\\\\\Rightarrow\x=\dfrac{15}{15}=1[/tex]
Hence, the value of x = 1
