Respuesta :

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

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