Answer:
x = [tex]\frac{20}{3}[/tex]
Step-by-step explanation:
ΔABC and ΔEDC are similar triangles ( AA ), hence the ratios of corresponding sides are equal, that is
[tex]\frac{AB}{ED}[/tex] = [tex]\frac{BC}{DC}[/tex], substitute values
[tex]\frac{x}{4}[/tex] = [tex]\frac{5}{3}[/tex] ( cross- multiply )
3x = 20 ( divide both sides by 3 )
x = [tex]\frac{20}{3}[/tex]
