raul12040
raul12040 raul12040
  • 03-05-2020
  • Mathematics
contestada

Can anyone help me as soon as possible??

Can anyone help me as soon as possible class=

Respuesta :

jimrgrant1 jimrgrant1
  • 03-05-2020

Answer:

x = 16

Step-by-step explanation:

Δ AED and Δ ACB are similar thus the ratios of corresponding sides are equal, that is

[tex]\frac{ED}{CB}[/tex] = [tex]\frac{AD}{AB}[/tex] , substitute values

[tex]\frac{11}{8}[/tex] = [tex]\frac{6+x}{x}[/tex] ( cross- multiply )

11x = 8(6 + x) ← distribute

11x = 48 + 8x ( subtract 8x from both sides )

3x = 48 ( divide both sides by 3 )

x = 16

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