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alisha [4.7K]
3 years ago
10

Find X. Show work. There is a photo of the problem. Thank you very much :)

Mathematics
1 answer:
mezya [45]3 years ago
5 0

Answer:

x = 2.24

Step-by-step explanation:

I will ASSUME that the 15 represents the angle in degrees

We can make a similar triangle by adding the purple lines as shown.

Any triangle inscribed in a circle with one side as a diameter is a right triangle.

We know it is similar triangle because it shares two common angles, the right angle and the 75° angle at the far right.  Then

z = 2Rsin15 = 2(16.7)sin15

x = zsin15 = 2(16.7)sin²15 = 2.237375756799...

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