Jamin3718 Jamin3718
  • 12-04-2021
  • Mathematics
contestada

Find the value of x.
6
14
3x-12
8
8
21
x = [?]

Find the value of x 6 14 3x12 8 8 21 x class=

Respuesta :

Luv2Teach
Luv2Teach Luv2Teach
  • 26-07-2021

Answer:

Step-by-step explanation:

That line that separates the triangle vertically is an angle bisector. That creates a ratio between the resulting 2 triangles:

[tex]\frac{6}{3x-12} =\frac{14}{21}[/tex] and cross multiply:

14(3x - 12) = 21(6) and

42x - 168 = 126 and

42x = 294 and

x = 7

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