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What is the value of x? Enter your answer in the box.
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What is the value of x? Enter your answer in the box.

What is the value of x? Enter your answer in the box.-example-1
User Alexey Ragozin
by
5.4k points

1 Answer

3 votes

Answer:

x=47

Explanation:

We can use the triangle bisector theorem

TK TV

----------- = -----------

YK YV

Substituting what we know

87.5 77

----------- = -----------

x-22 22

Using cross products

87.5 * 22 = 77 *(x-22)

Distribute

1925 =77x - 1694

Add 1694 to each side

1925 + 1694 =77x - 1694+1694

3619 = 77x

Divide by 77

3619/77 = 77x/77

47=x

User PaulMag
by
6.3k points
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