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

Question

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] · Answer 1 · 2022-03-30T13:42:44+03:00

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] · Answer 2 · 2022-03-30T16:08:07+03:00

mars1129 [50]3 years ago

4 0

Answer:

98

Step-by-step explanation:

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