Answer:
x = 8
Step-by-step explanation:
Δ TSU and Δ TRV are similar , thus the ratios of corresponding sides are equal, that is
[tex]\frac{TS}{TR}[/tex] = [tex]\frac{TU}{TV}[/tex] , substitute values
[tex]\frac{x}{x+16}[/tex] = [tex]\frac{5}{15}[/tex] = [tex]\frac{1}{3}[/tex] ( cross- multiply )
3x = x + 16 ( subtract x from both sides )
2x = 16 ( divide both sides by 2 )
x = 8
