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masha68 [24]
3 years ago
15

An angles measure is 6 degrees more than 3 times the measure of its complement. Find the measure of the angle.

Mathematics
1 answer:
finlep [7]3 years ago
5 0
Let X be the angle
Let it's complement be 90-x

x = 3(90-x)
x = 270-3x
4x = 270
x = 67.5 degrees

Hope that helps
If you have any questions feel free to ask :)
-Asmaa
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One month Tammy rented 2 movies and 6 video games for a total of $ 42 . The next month she rented 5 movies and 3 video games for
jeka94

Answer:

The rental cost of one movie is $2.25 and the rental cost of one video game is $6.25

Step-by-step explanation:

Let the rental cost of 1 movie be m.

Let the rental cost of 1 video game be v.

One month, Tammy rented 2 movies and 6 video games for a total of $42. This means that:

2m + 6v = 42 ________ (1)

The next month she rented 5 movies and 3 video games for a total of $30. This means that:

5m + 3v = 30 _________(2)

We now have two simultaneous equations:

2m + 6v = 42 ________ (1)

5m + 3v = 30 _________(2)

Multiply (2) by 2, and we have:

2m + 6v = 42 __________ (1)

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Subtract (1) from (3):

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 <u>  8m     =     18</u>

=> m = 18 / 8

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Put the value of m back in (1):

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=> 6v = 42 - 4.5 = 37.5

v = 37.5 / 6

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Therefore, the rental cost of one movie is $2.25 and the rental cost of one video game is $6.25

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