The triangles are similar. What is the value of x.

Answer:
The answer to your question is x = 6
Step-by-step explanation:
To solve this problem use proportions. Just look for the right sides so the proportion be correct.
Sides of the small triangle = Sides of the big triangle
[tex]\frac{x}{4} = \frac{12}{8}[/tex]
Solve for x
[tex]x = \frac{4(12)}{8}[/tex]
Simplification
x = [tex]\frac{48}{8}[/tex]
Result
x = 6