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tamaranim1 [39]
3 years ago
6

What is value of x? Enter your answer in the box. x =

Mathematics
1 answer:
Maslowich3 years ago
8 0

Answer:

x = 10

Step-by-step explanation:

Since the line from A is an angle bisector the following ratios are equal

\frac{AB}{AC} = \frac{x+4}{2x+1}, that is

\frac{8}{12} = \frac{x+4}{2x+1} ( cross- multiply )

8(2x + 1) = 12(x + 4) ← distribute both sides )

16x + 8 = 12x + 48 ( subtract 12x from both sides )

4x + 8 = 48 ( subtract 8 from both sides )

4x = 40 ( divide both sides by 4 )

x = 10


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