Answer: x = 100
=========================================================
Step-by-step explanation:
The triangles are similar. We can prove this through the angle angle similarity postulate.
This means we can set up the proportion below to solve for x
(short horizontal)/(long horizontal) = (short vertical)/(long vertical)
12/150 = 8/x
12x = 150*8 .... cross multiply
12x = 1200
x = 1200/12 ... divide both sides by 12
x = 100
------------------
As confirmation:
12/150 = 0.08
8/100 = 0.08
This shows that 12/150 = 8/100