Question

What is the value of x in the diagram?

(Diagram in the following post)

A. 1/2
B. 4/21
C. 2
D. 4

Answer 1

Theorem: If a line is parallel to one side of a triangle and intersects the other two, then the line divides them proportionally.

That translates for this problem to:

9/(4x-2) = 12/(3x+2)

9(3x+2) = 12(4x-2)

Solve for x. Let me know what you get. @Razzanide

Answer 2

9(3x+2) = 12(4x-2)
27x+18 = 48x-24
27x+42 = 48x
42 = 21x
2 = x

Thank you!

Answer 3

2 is correct. Glad to help.