chloelargaespada29
chloelargaespada29 chloelargaespada29
  • 01-06-2021
  • Mathematics
contestada

find the value of x.

find the value of x class=

Respuesta :

sreedevi102
sreedevi102 sreedevi102
  • 01-06-2021

Answer:

x = 5

Step-by-step explanation:

According to triangle angle bisector theorem, the ray divides the opposites side of the triangle into segments that are proportional to the other two sides.

So,

      [tex]\frac{x-1}{x-2} = \frac{12}{9}\\\\\frac{x-1}{x-2} = \frac{4}{3}\\\\3(x-1) = 4(x-2)\\\\3x - 3 = 4x - 8\\\\4x - 3x = -3 +8 \\\\x = 5[/tex]

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