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  • 22-05-2018
  • Mathematics
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What is the value of x?
Please help me with this math problem.

What is the value of x Please help me with this math problem class=

Respuesta :

jcherry99
jcherry99 jcherry99
  • 22-05-2018
Short answer x = 10
Remark
An angle bisector divides  (in this case) the base in the same ratio as the two sides.

Formula
8 / 12 = (x + 4)/(2x + 1)

Solve
Reduce the left hand side.
2/3 = (x + 4)/(2x + 1)                Cross multiply
2*(2x + 1) = 3 * (x + 4)             Remove the brackets
4x + 2 = 3x + 12                       Subtract 3x from both sides
4x - 3x + 2 = 12                        Subtract 2 from both sides
x = 12 - 2
x = 10
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