HJackson0923
HJackson0923 HJackson0923
  • 20-08-2016
  • Mathematics
contestada

In the figure, ΔABC ~ ΔDEF. Solve for x.

In the figure ΔABC ΔDEF Solve for x class=

Respuesta :

boffeemadrid
boffeemadrid boffeemadrid
  • 08-03-2019

Answer:

[tex]x=5[/tex]

Step-by-step explanation:

It is given that ΔABC is similar to ΔDEF, thus using the similarity postulate, we have

[tex]\frac{CB}{EF}=\frac{AB}{ED}[/tex]

⇒[tex]\frac{24}{6}=\frac{20}{x}[/tex]

On Cross multiplying, we get

⇒[tex]x=\frac{20{\times}6}{24}[/tex]

⇒[tex]x=\frac{20}{4}[/tex]

⇒[tex]x=5[/tex]

Thus, the value of x will be 5.

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