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irga5000 [103]
3 years ago
11

Please help ASAP! 20 points!

Mathematics
1 answer:
spin [16.1K]3 years ago
5 0

Answer:

see explanation

Step-by-step explanation:

∠AOB + ∠BOC = ∠AOC← substitute values

x + 3 + 4x - 7 = 2x + 11, that is

5x - 4 = 2x + 11 ( subtract 2x from both sides )

3x - 4 = 11 ( add 4 to both sides )

3x = 15 ( divide both sides by 3 )

x = 5

Thus

∠AOB = x + 3 = 5 + 3 = 8°

∠AOC = 2x + 11 = (2 × 5) + 11 = 10 + 11 = 21°

∠BOC = 4x - 7 = (4 × 5) - 7 = 20 - 7 = 13°

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Answer:

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6 0
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The supplement of a angle 30 degrees less than twice the measure of the angle itself. Find the angle and supplement
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Answer:

The angle: 70\°

The supplement: 110\°

Step-by-step explanation:

By definition, if the sum of two angles is 180 degrees, then this angles are called "Supplementary Angles".

Let be:

x the angle (in degrees) and 2x-30 its suppplement (in degrees).

Therefore, you can write the following equation in order to find the angle and its supplement:

x+2x-30=180

Now, you must solve for "x". Then:

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Then:

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Solve the equation for y 6y+x=y
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