Question

How do I solve this? Show work please

Answer 1

Answer:

x=5 so x+1 = 6 and x+3 = 8

Step-by-step explanation:

It's all about proportions.    These are similar triangles, so corresponding sides are proportional.  Basically you want to solve an equation $\frac{x+1}{x+3} = \frac{3}{4}$

Let me know if you cannot see how EG corresponds to GH or how EF corresponds to IH.

Anyway, from here we just solve.  Again, let me know if you have any questions.

4(x + 1) = 3(x + 3)

4x + 4 = 3x + 9

x = 5

And you can check

[tex]\frac{6}{8} = \frac{3}{4}[/tex