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natta225 [31]
3 years ago
5

The supplement of the measurement of an angle is 16 degrees less than three times the angle. Find the measurement of the angle a

nd its supplement.
Mathematics
1 answer:
yKpoI14uk [10]3 years ago
3 0
Let
x = measure of the angle
y = measure of the supplement 

By definition of supplementary, the two angles add to 180 degrees, so
x+y = 180
This is the first equation.

The second equation is y = 3x-16 since we're given the info that "the supplement is 16 degrees less than three times the angle"

--------------------------

The system of equations is
x+y = 180
y = 3x-16

Focus on the first equation x+y = 180, plug in y = 3x-16, and solve for x

x+y = 180
x+3x-16 = 180  ... y is replaced with 3x-16
4x-16 = 180
4x-16+16 = 180+16
4x = 196
4x/4 = 196/4
x = 49

Because x = 49, we can use this to find y
y = 3x-16
y = 3*49-16
y = 147 - 16
y = 131

-------------------------------------------------------------

Final Answers:
The measure of the angle is 49 degrees
The measure of the supplement is 131 degrees

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Let 

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We get;

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Using the similar pattern

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| animals | percent of animals |

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|    goats    |          16%           |

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|    camels    |          4%           |

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|    giraffes    |          6%            |

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|    llamas    |          6%           |

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|   deer    |          1%           |

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|   monkeys    |          10%           |

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|   birds    |          27%           |

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|   reptiles    |          14%           |

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|   bears    |          16%           |

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( sorry if the table above isnt 100% right or straight ^ )

first you add up all the percents of how much animals are in this exhibit

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then since we are looking for the probability of stopping in front of the monkeys, we take that 100 we got earlier and get the 10% of monkeys from our table

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but since there isnt a 10/100 on the answers we look for something that equals to 10/100 and 1/10 does since you can just times both the 1 and 10 to equal the 10 and 100 you were looking for

1/10

making 1/10 your answer!

hope this helps! and if you need anymore help on this math question just ask me :)

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2 years ago
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