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3 years ago

5

A triangle has an angle that measures 80°. The other two angles are in a ratio of 9:11. What are the measures of those two angle

s?

1 answer:

Alekssandra [29.7K]3 years ago

5 0

Answer:

The answer is 45° and 55 °.

180° - 80° = 100°

Then add the two numbers from the ratio:

9 + 11 = 20

The divide 100 from 20.

100 ÷ 20 = 5

Then multiply it to two numbers from the ratio:

9 × 5 = 45 and 11 × 5 = 55

I hope it helps.

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Katie, Elizabeth, and Siobhan voluenteer at the hospital. In a week, Katie volunteers 3 hours more than Elizabeth does and Siobhan volunteers 1 hour less than Elizabeth. Over 3 weeks, the number of hours Katie volunteers is equal to the sum of Elizabeth's and Siobhan's volunteer hours in 3 weeks.

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Andy C. answered • 08/16/17

TUTOR 4.9 (27)

Math/Physics Tutor

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We know nothing about Elizabeth hours, so that is where you assign the variable.

Elizabeth = X

Katie = X+3

Siobhan = X -1

Assuming this holds true over 3 weeks,

3(x+3) = 3X + 3(x-1)

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in one week:

Elizabeth volunteers 4 hours

Katie volunteers 7 hours

Siobhan volunteers 3 hours

over three weeks:

Elizabeth volunteers 12 hours

Katie volunteers 21 hours

Siobhan voluteers 9 hours

21 = 12 + 9, so yes it checks.

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