Answer:
x ≈ 2.57
Step-by-step explanation:
Δ ACB and Δ AED are similar, thus the ratios of corresponding sides are equal, that is
[tex]\frac{CB}{ED}[/tex] = [tex]\frac{AB}{AD}[/tex] , substitute values
[tex]\frac{x}{6}[/tex] = [tex]\frac{3}{7}[/tex] ( cross- multiply )
7x = 18 ( divide both sides by 7 )
x = [tex]\frac{18}{7}[/tex] ≈ 2.57 ( to 2 dec. places )