Answer:
x = 7
Step-by-step explanation:
The larger outside triangle and the smaller triangle on top are similar, hence the ratios of corresponding sides are equal, that is
[tex]\frac{5}{5+40}[/tex] = [tex]\frac{3}{2x+10+3}[/tex]
[tex]\frac{5}{45}[/tex] = [tex]\frac{3}{2x+13}[/tex] ( cross- multiply )
5(2x + 13) = 135
10x + 65 = 135 ( subtract 65 from both sides )
10x = 70 ( divide both sides by 10 )
x = 7
