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7 November, 19:38

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.

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  1. 7 November, 19:42
    0
    98

    Step-by-step explanation:

    I am just confirming that 98 is the correct answer! : D
  2. 7 November, 19:52
    0
    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
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