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Identify the similar triangles in the figure then find the value of X.
A. Write the similarity statement in the form of triangle~triangle.
B. What is the value of X.

Identify the similar triangles in the figure then find the value of X A Write the similarity statement in the form of triangletriangle B What is the value of X class=

Respuesta :

Answer:

x = 8

Step-by-step explanation:

∠ B ≅ ∠ D

∠ A ≅ ∠ C

Then

Δ BAD ≅ Δ DCE ( AA postulate )

Then the ratios of corresponding sides are equal, that is

[tex]\frac{BA}{DC}[/tex] = [tex]\frac{BD}{DE}[/tex] , substitute values

[tex]\frac{x}{4}[/tex] = [tex]\frac{12}{6}[/tex] = 2 ( multiply both sides by 4 to clear the fraction )

x = 8