Respuesta :

Answer:

x = 16

Step-by-step explanation:

given triangles ABC and DEF are similar , then the ratios of corresponding sides are in proportion , then

[tex]\frac{AC}{DF}[/tex] = [tex]\frac{AB}{DE}[/tex] ( substitute values )

[tex]\frac{x}{20}[/tex] = [tex]\frac{8}{10}[/tex] ( cross multiply )

10x = 20 × 8 = 160 ( divide both sides by 10 )

x = 16