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Lerok [7]
2 years ago
14

Solve for the Value of R

Mathematics
1 answer:
Elanso [62]2 years ago
4 0

Answer:

r = 13

Step-by-step explanation:

As the vertically opposite angles are equal,

8r + 6 = 9r - 7

<u>Now you can find the value of r.</u>

8r - 9r = -6 - 7

-r = -13

r = 13

Hope this helps you :-)

Let me know if you have any other questions :-)

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Answer:

x = 34°

Step-by-step explanation:

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5 0
3 years ago
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The exact value of cos5pi/12 is:​
jonny [76]

Step 1: Convert \frac{5\pi }{12}, which is in radians into degrees. To convert it multiply by \frac{180}{\pi }

\frac{5\pi }{12} =\frac{180}{\pi }

900/12

75

Step 2: 75 degrees isn't on the unit circle but 45 degrees and 30 degrees is. Since 45 + 30 = 75 you can use the cosine of 45 and 30 to find the exact value

cos45 = \frac{\sqrt{2} }{2}

cos30 =\frac{\sqrt{3} }{2}

Step 3: Add the cos45 and cos30 to get cos5pi/12

\frac{\sqrt{2} }{2} +\frac{\sqrt{3} }{2} = \frac{\sqrt{2}+\sqrt{3}}{2}

Hope this helped!

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