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densk [106]
3 years ago
10

WILL GIVE BRAINLIEST ANSWER!!

Mathematics
1 answer:
konstantin123 [22]3 years ago
4 0

Answer:

x = 27

Step-by-step explanation:

The line segment at ∠A is an angle bisector, hence the following ratios are equal.

\frac{AB}{AC } = \frac{10}{14}

\frac{x+8}{2x-5} = \frac{10}{14} ( cross- multiply )

10(2x - 5) = 14(x + 8) ← distribute parenthesis on both sides

20x - 50 = 14x + 112 ( subtract 14x from both sides )

6x - 50 = 112 ( add 50 to both sides )

6x = 162 ( divide both sides by 6 )

x = 27


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