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Alexandra [31]
3 years ago
10

The complement of an angle is three times the measurement of the angle. Find the measurement of the larger angle.

Mathematics
1 answer:
olganol [36]3 years ago
4 0
We know that two complements add up to 90.
Let's call the smaller angle x and the larger y.
3x = y
x + y = 90
We can use simple substitution.
x + 3x = 90
4x = 90
x = 22.5

Then, since we know that 3x=y, we can find the larger angle.
3*22.5 = 67.5
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Which of these sets of angle measures could be the three angles in a triangle?
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Answer:

Okay so this is simple addition, once you know how to do it. 

The interior angles of a triangle should always add up to 180 Degrees. 

Now that you know this, all you have to do is add the numbers together and see which ones add up to 180 degrees. 

A. - 90+42+58=190

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2 years ago
Reduce 20/24 to the simplest form
BabaBlast [244]

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6 0
2 years ago
Read 2 more answers
10x+4y+ 12z=120 <br> 11x +77y =220 <br> 8x +2y +32z =160
Damm [24]

Answer:

x=8.94 ; y = 1.58; z=2.02

Step-by-step explanation:

solve 10x+4y+12z = 120      →          5x+2y+6z = 60

         8x + 2y +32Z = 160   →           4x+y+16z = 80

To eliminate z multiply first equation by 16 and second equation by 6.

80x+32y+96z = 960

24x+6y+96z =   480

on subtractionwe get 56x+26y = 480

dividing by 2 we get, 28x + 13y = 240

Now we have a given equation 11x + 77y = 220 → x + 7y = 20

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28x + 216y = 560

subtracting we get, 203y = 320

y = 1.58

x = 8.94

z = 2.02

6 0
3 years ago
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