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