What is the value of x?

Answer:
solution,
We have ABCD~FECG
Sides of similar shapes in proportion.
Here,
Setting proportion of sides of similar shapes
[tex] \frac{ab}{fe} = \frac{bc}{ec} [/tex]
[tex] \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[/tex]
Hope this helps...
Good luck on your assignment..
Answer: for anyone who is looking for y it’s y=8
Step-by-step explanation:
Y/4=10/5
= 5y/5=40/5
Y=8