234k views
3 votes
What is the value of x
27
12
25
14

What is the value of x 27 12 25 14-example-1
User Toby Liu
by
7.8k points

2 Answers

4 votes

Answer:

27.

Explanation:

I just did this question and I got it incorrect by answering 12. It's 27!

User SolvingPuzzles
by
7.3k points
4 votes

Answer:

x = 27

Explanation:

An angle bisector of an angle of a triangle divides the opposite side in two segments that are proportional to the other two sides of the triangle.

Therefore we have the equation:


(x+8)/(10)=(2x-5)/(14) cross multiply


14(x+8)=10(2x-5) use the distributive property


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


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


14x=20x-162 subtract 20x from both sides


-6x=-162 divide both sides by (-6)


x=27

User Alex Salauyou
by
8.4k points

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