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son4ous [18]
3 years ago
7

What is the value of x? Enter your answer in the box. Ft Triangle V T K with segment T Y such that Y is on segment V K, between

V and K. Angle V T Y is congruent to angle Y T K. V T equals 77 feet, V Y equals 22 feet, V K equals x, and T K equals 87.5 feet.

Mathematics
2 answers:
Yanka [14]3 years ago
6 0

Answer:

x=47 feet

Step-by-step explanation:

Since angle VTY is congruent to angle VTK, segment TY bisects angle VTK. Since Y is on segment VK, between V and K, we can use the Angle Bisector Theorem, which states that:

\frac{VY}{YK}=\frac{VT}{TK}

\frac{22}{YK}=\frac{77}{87.5}

YK=\frac{22{\times}87.5}{77}

YK=25 feet

Now, X=VY+YK

Substituting the values, we get

X=22+25

X=47 feet

andriy [413]3 years ago
3 0

Answer:

47 ft

Step-by-step explanation:

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