Respuesta :

Answer:

x = 5

Step-by-step explanation:

Δ DEF and Δ DBC are similar by the AA postulate

Then the ratios of corresponding sides are in proportion, that is

[tex]\frac{DC}{DF}[/tex] = [tex]\frac{BC}{EF}[/tex] , substitute values

[tex]\frac{x}{2}[/tex] = [tex]\frac{4}{1.6}[/tex] ( cross- multiply )

1.6x = 8 ( divide both sides by 1.6 )

x = 5

Answer:

x = 5

Step-by-step explanation:

CBD is an enlarged triangle of FED

where the sides are enlarged.

FE is enlarged which is 1.6 and turned to CB length which is 4

CD is a enlarged version of the length FD which is 2

therefore a equation can be made to solve x:

2 / 1.6  =  x / 4

x = 5

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