Question

What is the value of x?

Answer 1

Answer:

x=12

solution,

We have ABCD~FECG

Sides of similar shapes in proportion.

Here,

Setting proportion of sides of similar shapes

$\frac{ab}{fe} = \frac{bc}{ec}$

$\frac{x}{6} = \frac{10}{5} (substituting \: value) \\ x \times 5 = 10 \times 6(cross \: multiplication) \\ or \: 5x = 60 \\ or \: x = \frac{60}{5} \\ x = 12$

Hope this helps...

Good luck on your assignment..