jamielyn22 jamielyn22
  • 25-05-2018
  • Mathematics
contestada

What is the value of x given that AE || BD

What is the value of x given that AE BD class=

Respuesta :

DelcieRiveria DelcieRiveria
  • 26-03-2019

Answer:

The value of x is [tex]7\frac{4}{5}[/tex].

Step-by-step explanation:

Given information: AE || BD

So, the triangle ACE and BCD are similar triangle, therefore their corresponding sides are proportional.

[tex]\frac{AC}{BC}=\frac{EC}{DC}[/tex]

[tex]\frac{AB+BC}{BC}=\frac{ED+DC}{DC}[/tex]

[tex]\frac{x+13}{13}=\frac{3+5}{5}[/tex]

[tex]5(x+13)=13\times 8[/tex]

[tex]5x+65=104[/tex]

[tex]5x=39[/tex]

[tex]x=\frac{39}{5}=7\frac{4}{5}[/tex]

Therefore the value of x is [tex]7\frac{4}{5}[/tex].

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