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: [tex]\frac{SE}{GE} = \frac{RE}{FE}[/tex] . Plugging in the numbers from the diagram, we get [tex]\frac{45}{12x-3} = \frac{55}{143}[/tex] . Using cross multiplication, we get the following equation:
[tex]45 * 143 = 55 *(12x-3)\\ 6435 = 660x - 165\\6600 = 660x\\x = 10[/tex]
Our final answer is D. 10
