Question

20 POINTS. PLZ HELP!!!!!

What is value of x?



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x=

Answer 1

`x=27`

Explanation:

Notice that Angle A is being bisected.

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

`(x+8)/(10)=(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`