20 POINTS. PLZ HELP!!!!!

Mathematics

1 answer:

liberstina [14]3 years ago

8 0

Answer:

$x=27$

Step-by-step explanation:

Notice that Angle A is being bisected.

Hence, we can use the Angle Bisector Theorem to write the following proportion:

$\frac{x+8}{10}=\frac{2x-5}{14}$

Solve for x. Cross-multiply:

$10(2x-5)=14(x+8)$

Distribute:

$20x-50=14x+112$

Subtract 14x from both sides:

$6x-50=112$

Add 50 to both sides:

$6x=162$

Divide both sides by 6. Hence, the value of x is:

$x=27$

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