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Triangle X Y Z is shown. Angle X Y Z is 75 degrees and angle Y Z X is 50 degrees. The length of X Y is 2 and the length of X Z is y. Use the law of sines to find the value of y. Round to the nearest tenth. Law of sines: StartFraction sine (uppercase A) Over a EndFraction = StartFraction sine (uppercase B) Over b EndFraction = StartFraction sine (uppercase C) Over c EndFraction

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akposevictor

Applying the law of sines, the value of y is calculated as: 2.5 units.

What is the Law of Sines?

Law of sines is given as: sin X/x = sin Y/y = sin Z/z

Given the following:

m∠XYZ = 75° (Y)

m∠YZX = 50° (Z)

XY = 2 (z)

XZ = y = ?

Thus, we would have the following:

sin 75/y = sin 50/2

Cross multiply

y = (sin 75 × 2) / sin 50

y = 2.5 units

Therefore, applying the law of sines, the value of y is calculated as: 2.5 units.

Learn more about the law of sines on:

https://brainly.com/question/2807639

Answer:

2.5

Step-by-step explanation:

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