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LenaWriter [7]
2 years ago
9

20 POINTS. PLZ HELP!!!!!

Mathematics
1 answer:
liberstina [14]2 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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