Respuesta :

Answer:

x = 12

Step-by-step explanation:

Since the triangles are similar then the ratios of corresponding sides are equal, that is

[tex]\frac{AB}{DE}[/tex] = [tex]\frac{BC}{EF}[/tex] , substitute values

[tex]\frac{x}{6}[/tex] = [tex]\frac{8}{4}[/tex] ( cross- multiply )

4x = 48 ( divide both sides by 4 )

x = 12