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Akimi4 [234]
3 years ago
14

I know y= 40 but what is x ?

Mathematics
1 answer:
puteri [66]3 years ago
6 0

Answer:

x = 67; y = 40

Step-by-step explanation:

You are correct with y. Angles y + 23 and 63 are vertical, so they are congruent. That gives you y + 23 = 63, which gives y = 40.

To find x, look at angles 2x - 17 and 63.

They are adjacent angles whose outside rays lie on a line. Angles like these are called a linear pair, and they are supplementary. That means their measures add up to 180 deg.

2x - 17 + 63 = 180

2x + 46 = 180

2x = 134

x = 67

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<h3>Answer:  cos(76)</h3>

=========================================================

Explanation:

The original expression is of the pattern cos cos + sin sin. This pattern matches the second identity in the hint. Specifically, we'll say the following:

cos(A - B) = cos(A)cos(B) + sin(A)sin(B)

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----------

We can verify this by use of a calculator. Make sure your calculator is in degree mode.

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