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julia-pushkina [17]
3 years ago
11

Find the length of a segment drawn on a number line with its endpoints at 13 and -46

Mathematics
2 answers:
sashaice [31]3 years ago
7 0

Length  = 59

From -46 to 0---------------46

From 0 to 13----------------13

Total    ------------------------59 (46=13)

marin [14]3 years ago
7 0

Answer:

59

Step-by-step explanation:

Because you are finding distance on a number line, the answer will be positive (you can't be a negative amount away from something). You can add 13 to 46, each getting to 0. Your answer is 59.

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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.
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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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<u>Hope this helped!</u>

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Step-by-step explanation:

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