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ioda
3 years ago
11

The following angles are supplementary find the missing angle measure

Mathematics
1 answer:
nekit [7.7K]3 years ago
6 0

Answer:

<em>x = 62°, y = 103°</em>

Step-by-step explanation:

<u>Supplementary Angles</u>

Two angles are called <em>supplementary</em> when their measures add up to 180 degrees.

The image shows two pairs of supplementary angles. We have to find the value of the unknown variable.

The first drawing shows supplementary angles x and 118°. They must satisfy the equation:

x + 118° = 180°

Subtracting 118°:

x = 180° - 118°

x = 62°

From the second drawing, we set up the equation:

y + 77° = 180°

Subtracting 77°:

y = 180° - 77°

y = 103°

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Step-by-step explanation:

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How to get 3.15 ratio
REY [17]

Answer:

Step 1) Convert the 3.15 percent to a decimal number.

To convert 3.15 percent to a decimal number, you divide 3.15 by 100. In other words, the quotient you get when you divide 3.15% by 100 is the decimal number.

3.15 ÷ 100 = 0.0315

Step 2) Convert the decimal number to a fraction.

To convert the decimal number to a fraction, we make the decimal number the numerator, and 1 the denominator.

0.0315  =  

   

0.0315

   

1

Step 3) Remove the decimal point in the numerator.

To remove the decimal point in the numerator, multiply both the numerator and denominator by 10000.

   

0.0315 × 10000

   

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315

   

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Step 4) Simplify the fraction.

The greatest common factor of 315 and 10000 is 5. Therefore, to simplify the fraction, divide the numerator and denominator by 5.

   

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Step 5) Convert the fraction to a ratio.

To convert the fraction to a ratio, replace the fraction divider line with a colon.

   

63

   

2000

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That was the final step. Below is the answer to 3.15 percent as a ratio.

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Step-by-step explanation:

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