Question

The length of DE is 12. GF = 2x + 2 and FE = 4x - 8. GE is perpendicular to FD. What is the value of x?

Answer 1

there is an attach file button so that you can take a picture of your problem and upload it. Use these tools.

Answer 2

(GF)x(FE)=-1
(2x+2)(4x-8)=-1
8x^2 -8x -15=0
Using the quadratic formula we get
x=0.25(2-sqrt34)
x=0.25(2+sqrt34)

Answer 3

That can't be right, because the answer choices are 2, 4, 12, and 5. I'll attach a file.

Answer 4

if that is a parallelogram, then x = 5

Answer 5

see? it is so much easier to answer questions this way :)
I wouldn't have dreamed that it was a quadrilateral. I thought it was a triangle DEF with G being a point on the side DF based on the description you gave.

Answer 6

Thanks a million, and I'm really sorry for the communication error. Will definitely make sure to be more precise from this point forward.

Answer 7

That is fine :)