A machine in an office can shred 65 sheets of paper every 5 seconds. How many sheets of paper can the machine shred in 60 second
2 answers:
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Answer: 150.77 and 29.23
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Explanation:
x = larger angle
y = smaller angle
x-y = difference of the angles = 121.54
x-y = 121.54 is one equation
x+y = 180 is the other equation since supplementary angles <u>always</u> add to 180 (they form a straight line).
We have this system we're working with
Add the equations straight down.
- x+x = 2x
- -y+y = 0y, the y terms go away
- 121.54+180 = 301.54
We're left with this reduced equation
2x = 301.54
Divide both sides by 2 to isolate x
x = 301.54/2
x = 150.77
Use this to find the value of y
x-y = 121.54
150.77-y = 121.54
-y = 121.54-150.77
-y = -29.23
y = 29.23
Or we could say
x+y = 180
150.77+y = 180
y = 180-150.77
y = 29.23
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Summary:
x = 150.77 and y = 29.23 are the two angles.
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