Question

Please help me figure how to solve

Answer 1

Diagonals of a parallelogram bisect each other.

Here DF and Eg are the diagonals of a parallelogram bisect at point H. So,

GH=EH and DH=FH.

Given DH=4x-10 and FH=x+8. So, we can set up an equation by equalising it.

4x-10= x+8

4x-10-x=x+8-x Subtracting x from each sides.

3x-10=8

3x-10+10=8+10 Adding 10 to each sides.

3x=18

`(3x)/(3) =(18)/(3)` Dividing each sides by 3.

x= 6

So, x=6.