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

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
Answer: x = 4
Step-by-step explanation:
Since the two triangles are similar, you can set up a proportion:
[tex]\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}[/tex]