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ilovemusicandreading
02.08.2019 •
Mathematics
What is the value of x? 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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Ответ:
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
Since x= VK = VY + YK, we need to obtain VY since YK = 68.
VY is obtained by multiplying the denominator YK on both sides of equation (1). So,
Hence,
x = VK = VY + YK
x = 30 + 68
x = 98 millimeters
Ответ:
Step-by-step explanation: