The triangle are similar. What is the value of x

Enter your answer in the box.

X=

Explanation:

Focus on the horizontal pieces. The jump from 3 to 15 is "times 5".

Then focus on the diagonal pieces. The jump from 5 to 25 is also "times 5".

Therefore, the scale factor is 5 when going from small triangle to large (right to left).

For the vertical pieces 4 and 3x+8, we also have a jump of "times 5" to keep things consistent. Otherwise, the triangles wouldn't be similar.

This must mean the 3x+8 side is equal to 4*5 = 20

So,

3x+8 = 20

3x = 20-8

3x = 12

x = 12/3

x = 4

4

Step-by-step explanation:

Since the triangles are similar, their corresponding sides are also equal.

So,

( 3x + 8 ) / 4 = 25 / 5

3x / 4 + 8 / 4 = 5

3x / 4 + 2 = 5

3x / 4 = 5 - 2

3x / 4 = 3

Cross multiply,

3x = 3 * 4

x = ( 3 * 4 ) / 3

x = 4

step-by-step explanation:

compare