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  • 14-04-2020
  • Mathematics
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Find the value of x.

Find the value of x class=

Respuesta :

Hrishii
Hrishii Hrishii
  • 15-04-2020

Answer:

x = 4

Step-by-step explanation:

In [tex] \triangle BAC, \: DE || AC[/tex]

Hence, by basic proportionality theorem:

[tex] \frac{x + 2}{x} = \frac{3}{2} \\ \\ \therefore \: 2(x + 2) = 3x \\ \therefore \:2x + 4 = 3x \\ \therefore \:4 = 3x - 2x \\ \therefore \:4 = x \\ \huge \red { \boxed{\therefore \:x = 4}}[/tex]

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