Find the measures of two supplementary angles if their measures are in the given ratio.
3:7

Answers

Answer 1

Two supplementary angles are in the ratio 3:7. Find the angles ?

Let the two angles be 3x and 7x.

Supplementary angles add up to 180 degrees.

Therefore:

3x + 7x = 180

10x = 180

x = 18

3x = 3 * 18 = 54

7x = 7 * 18 = 126

Answer 2

Measure of angles are 54° and 126°.

What is Supplementary angle?

Sum of two or more angles are 180 degrees then, the angles are called supplementary angle.

Given that;

The ratio of angles are 3 : 7.

Now,

Let the two angles be 3x and 7x.

Since, Supplementary angles are add up to 180 degrees.

So,

3x + 7x = 180

10x = 180

x = 18

So, First angle of supplemental angles = 3x

                                                           = 3 × 18  

                                                           = 54

And, Second angle of supplemental angles = 7x

                                                                   = 7 × 18

                                                                   = 126

Thus, Measure of angles are 54° and 126°.

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Answers

Answer:

f(n) = 155 - 14(n-1) [Question 1, Arithmetic sequence]

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Step-by-step explanation:

Given the explicit formula for an arithmetic sequence: f(n) = f(1) + d(n-1).

Where d is the common difference, f(n) is the nth term, and f(1) is the first term.

Given that the first term f(1) is 155 from the table since 1 is n, and 155 is f(n). And the second term f(2) is 141 since n is 2, and 141 is under f(n) on the table when n is 2.

Subtract the two terms to find the common difference: d = f(2) - f(1) = f(3) - f(2) = f(4) - f(3) = ...

d is 155-141= -14.

Remember how the first term in the sequence is 155, and how d is -14, we can make this into an equation:

f(n) = f(1) + d(n-1) → f(n) = 155 - 14(n-1).

We can test this by matching the equation by input, and output to the table:

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......

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

5.25x+6=74.25

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_______________

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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