Answer:
[tex]x=\dfrac52[/tex]
Step-by-step explanation:
In a parallelogram, the diagonals bisect each other. This means that the diagonals are divided into 2 equal parts by the other diagonal.
Therefore,
[tex]\implies AE =\dfrac12 AC[/tex]
[tex]\implies 4x=\dfrac12(6x+5)[/tex]
To solve:
multiply both sides by 2:
[tex]\implies 8x=6x+5[/tex]
subtract 6x from both sides:
[tex]\implies 2x=5[/tex]
divide both sides by 2:
[tex]\implies x=\dfrac52[/tex]
