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Monica [59]
3 years ago
10

How do you solve this and what is the answer ?

Mathematics
1 answer:
MAXImum [283]3 years ago
6 0
First you take 180 (total measure of triangle) and subtract 46 and 80 from it. Then you get angle 1. you then take 180 and subtract 46 and 38 and the answer is angle 2. Finally, you then take 180 and subtract 38 and the answer for angle 2. You then will get angle 3.
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Answer:

\frac{9}{10}

Step-by-step explanation:

The Law of Cosines works for any triangle and is given by:

c^2=a^2+b^2-2ab\cos \gamma, where a, b, and c are the sides of the triangle and \gamma is the angle opposite to c.

In the given triangle, assign the variables:

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Substituting these variables, we have:

10^2=10^2+18^2-2(10)(18)\cod \cos \gamma,\\100=100+324-360\cdot \cos \gamma,\\100=424-360\cos \gamma,\\-324=-360\cos\gamma,\\\cos \gamma =\frac{-324}{-360}=\boxed{\frac{9}{10}}

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3 years ago
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4 years ago
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natita [175]
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Hope this helps!
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4 years ago
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