These triangles are similar Find the value of x

C. 4

Step-by-step explanation:

This is just a common ratio.  These two triangles are alike, just that one is smaller than the other.  You can see that one of the sides of the big traingle is 10.  The same side of the smaller triangle is 5.  That means the big traingle's side is twice as big as the small circle's.  

10 divided by 5= 2

If the big triangle's side got divided by 2 to get the smaller triangle's side. So,  that means the other side of the big triangle, 8 is twice as big as the side on the smaller triangle, x.  

8 divided by 2= x

8 divided by 2= 4, so x= 4.

This is the ratio:

8:10 to x:5

As you can see the 10 got divided by 2 to get the 5.  So 8 must also get divided by 2, which equals 4.

the answer for this question is 38