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Anon25 [30]
3 years ago
5

The sum of the measures of two complementary angles is 74° greater than the difference of their measures. Find the measure of ea

ch angle.
Mathematics
1 answer:
andrezito [222]3 years ago
5 0

Answer:

Step-by-step explanation:

90 = (90-x)-x + 74

16 = 90-2x

2x = 74

x = 37 (angle)

90-x = 53 (complement)

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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
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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)

10m + 6v = 60 _________ (3)

Subtract (1) from (3):

 10m + 6v = 60

-<u> 2m + 6v = 42</u>

 <u>  8m     =     18</u>

=> m = 18 / 8

m = $2.25

Put the value of m back in (1):

2(2.25) + 6v = 42

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v = 37.5 / 6

v = $6.25

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3 years ago
Find the area. The figure is not drawn to scale.
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