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Mama L [17]
3 years ago
13

Jan saw 9 full moons in 252 days.Write each statement as a rate

Mathematics
1 answer:
Mashutka [201]3 years ago
7 0
Jan saw 1 full moon in 28 days. 
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2 angles are supplementary. The measure of one angle is one-third of the other. Find the measure of BOTH angles.
morpeh [17]

Answer:

45° and 135°

Step-by-step explanation:

let one angle be "x" and the other be "y"

Angles which are supplementary total to 180°. This can be represented with the equation:

x + y = 180

If angle "x" is a third of angle "y", the situation is represented with this equation:

(1/3)x = y

Since fractions are difficult to work with, multiply the whole equation by 3.

(1/3)x = y   <= X 3

x = 3y

Use the equations x+y=180 and x=3y.

You can substitute x=3y into x+y=180.

x + y = 180

(3y) + y = 180    <=combine like terms

4y = 180   <=isolate y by dividing both sides by 4

y = 45

Substitute y=45 itno the equation x+y=180 to find x.

x + y = 180

x + 45 = 180   <=isolate x by subtracting 45 from both sides

x = 135

Therefore the angles are 45° and 135°.

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