Question

What is the value of x in the diagram?


(1 point)
1/2
4/21
2
4

Answer 1

If those red arrows mean those lines are parallel, we have some similar triangles (AAA). Where does that leave us?

Answer 2

not real sure :(

Answer 3

can someone walk me through it?

Answer 4

please?

Answer 5

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

Answer 6

That means:

9 is to (4x - 2) as 12 is to (3x + 2)

Answer 7

Or,

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

Cross multiply and solve for x.

Answer 8

To help you get started,

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