The perimeter of triangle XYZ is 24 units.

Law of cosines: a2 = b2 + c2 – 2bccos(A)

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.

A boat traveled north for 28 miles, then turned x° southwest and traveled for 25 miles before stopping. When it stopped, the boat was 18 miles from its starting point. Law of cosines:

Law of sines:

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