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trasher [3.6K]
3 years ago
10

What is the value of x? Enter your answer in the box. mm 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 57 millimeters, V K equals x, Y K equals 68 millimeters, and T K equals 129.2 millimeters.
Mathematics
2 answers:
lapo4ka [179]3 years ago
5 0

Answer:

  VK = x = 98 mm

Step-by-step explanation:

TY is the bisector of angle T, so it divides segments of the triangle proportionally. That is, ...

  VY/VT = KY/KT

  VY = VT·KY/KT = (57 mm)·68/192.2 = 30 mm

Then

  VK = VY + YK = 30 mm + 68 mm

  VK = 98 mm

mars1129 [50]3 years ago
4 0

Answer:

98

Step-by-step explanation:

I am just confirming that 98 is the correct answer! :D

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