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11111nata11111 [884]
3 years ago
8

Please answer question on attachment. THANK YOU SO MUCH!!

Mathematics
1 answer:
Lemur [1.5K]3 years ago
8 0
I say the first one
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The measure of the supplement of an angle is 12 more than twice the measure of the angle. Find the measures of the angle and it'
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Supplementary angles add up to 180 degrees-

Let x = "the angle"

supplement angle = 2x + 12 // 12 more than twice the measurement of "the angle"

Supplement angle + "the angle" = 180 degrees

(2x + 12) + x = 180 degrees // 2x + 12 is the supplement angle

3x + 12 = 180 //  Simplify

3x = 168 // Subtract 12 from both sides

x =  56 degrees // Divide both sides by 3

The measure of the angle is 56° and its supplement is 124°
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Answer:

The ratio of boys to girls to 5:7

Let the number of boys be 5x

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Now just plug in 6 for the x in 7x

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The given question describes a right triangle with with one of the angles as 20 degrees and the side adjacent to the angle 20 degrees is of length 5,000 feet. We are looking for the length of the side opposite the angle 20 degrees.

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