Question

Find the value of X and What equation do you use for this problem

Answer 1

Answer:  x = 4

Step-by-step explanation:

Since the two triangles are similar, you can set up a proportion:

$\dfrac{16}{12-x}=\dfrac{8}{x}\\\\\\\text{Cross Multiply and solve for x:}\\16(x)=8(12-x)\\16x=96-8x\\24x=96\\\boxed{x=4}$

Answer 2

You set them equal to each other since they are proprtional

So 12-x=x

Add x on both sides

12=2x

Divide by 2 on both sides

6=X