Question

Solve for x. The triangles are similar.

Answer 1

D. 10

Explanation:

We can use similar triangles to solve this question. ΔRSE ≅ ΔFGE by SAS. We can set up this similarity equations:
`(SE)/(GE) = (RE)/(FE)` . Plugging in the numbers from the diagram, we get
`(45)/(12x-3) = (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

`\fbox {D. 10}`

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