Answer:
x = 14
Step-by-step explanation:
Since the triangles are similar then corresponding sides are in proportion, that is
[tex]\frac{15}{x-4}[/tex] = [tex]\frac{12}{8}[/tex] ( cross- multiply )
12(x - 4) = 120 ( divide both sides by 12 )
x - 4 = 10 ( add 4 to both sides )
x = 14
