Answer:
x = 4
Step-by-step explanation:
Since the triangles are similar, you know that the sides are equally proportional to all the other ones.
What I do is set up two fractions:
[tex]\frac{2}{3}[/tex] = [tex]\frac{x}{x + 2}[/tex]
Make sure that the bigger sides are on the same side of the fraction as each other!
Now, you solve for x.
2(x + 2) = 3x
2x + 4 = 3x
-x + 4 = 0
x = 4
I hope this helps!
