Question

Solve for x. The triangles are similar.

Answer 1

Answer:

D. 10

Step-by-step explanation:

We can use similar triangles to solve this question. ΔRSE ≅ ΔFGE by SAS. We can set up this similarity equations: $\frac{SE}{GE} = \frac{RE}{FE}$ . Plugging in the numbers from the diagram, we get $\frac{45}{12x-3} = \frac{55}{143}$ . Using cross multiplication, we get the following equation:

$45 * 143 = 55 *(12x-3)\\ 6435 = 660x - 165\\6600 = 660x\\x = 10$

Our final answer is D. 10

Answer 2

Answer:

$\fbox {D. 10}$

Step-by-step explanation:

As the triangles are similar :

45/55 = (12x - 3)/143

9/11 = (12x - 3)/143

9 x 13 = 12x - 3

12x = 117 + 3

12x = 120

x = 10