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agasfer [191]
2 years ago
6

Find the value of each variable in the circle to the right. The dot represents the center of the circle.

Mathematics
1 answer:
MrMuchimi2 years ago
4 0

9514 1404 393

Answer:

  a = 57.5

  b = 90

  c = 65

Step-by-step explanation:

The measure of an inscribed angle is half that of the arc it intercepts. The angle at 'a' intercepts an arc of 115°, so its measure is (115/2)° = 57.5°

__

The inscribed angle at 'b' is a semicircle, 180°, so the measure of 'b' is (180/2)° = 90°.

__

The arc 'c' is the remainder of a semicircle after 115° have been taken away. Its measure is 180° -115° = 65°.

  (a, b, c) = (57.5, 90, 65)

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Step-by-step explanation:

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You bike for 2 hours at a speed no faster than 17.6 mph. Write an inequality that represents the possible number of miles you bi
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Total no. of hours you spent biking = 2 hours
the speed at which you rode your bike ≤ 17.6 mph
Now,
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3 years ago
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Classify the pair of angles. Then find the value of x.
sleet_krkn [62]

Answer:

3) x = 50, vertical angles.

4) x = 20, supplementary angles

5) x = 14, complimentary angles

Step-by-step explanation:

<h3>3)</h3>

<em>vertical angles.</em>

<em>vertical angles are equal.</em>

<em>so, you can make this equation:</em>

67 = x + 17

<em>subtract 17 from both sides of the equation</em>

67 - 17 = x + 17 - 17

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<h3>4)</h3>

<em>supplementary angles</em>

<em>supplementary angles add up to 180</em>

<em>so, you can make this equation:</em>

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<em>subtract 40 from both sides of the equation</em>

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7x/7 = 140/7

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<h3>5)</h3>

<em>complimentary angles</em>

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<em>so, you can make this equation:</em>

4x + 34 = 90

<em>subtract 34 from both sides of the equation</em>

4x + 34 - 34 = 90 - 34

4x = 90 - 34

4x = 56

<em>divide both sides by 4</em>

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enot [183]

Answer:

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