Answer:
x = 16
Step-by-step explanation:
Δ ABC and Δ ADE are similar , thus the ratios of corresponding sides are equal, that is
[tex]\frac{AB}{AD}[/tex] = [tex]\frac{BC}{DE}[/tex] , substitute values
[tex]\frac{x}{x+6}[/tex] = [tex]\frac{8}{11}[/tex] ( cross- multiply )
11x = 8(x + 6)
11x = 8x + 48 ( subtract 8x from both sides )
3x = 48 ( divide both sides by 3 )
x = 16
