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Mrac [35]
3 years ago
15

Help. Please And Thank u <3

Mathematics
2 answers:
ozzi3 years ago
7 0

Step-by-step explanation:

α = α

x = 96°

Answer → x = 96° (degree)

Eduardwww [97]3 years ago
7 0

Answer:

96 Degrees

Step-by-step explanation:

If we look at the problem, we know that due to the fact that they are adjacent that they MUST be equal.

Here is the proof:

We'll assign each angle a letter as following

A B C D with A being the top left and D being the bottom right!

Now that we know that, first off, A has to be equal to 180-96 due to them being Supplementary Angles.

Therefore, A is 84 degrees.

Now to find x, we can use Supplementary Angles again.

x has to be 180-84 which is 96 degrees proving the theorum.

Have a nice day!

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The total points by Washington High School =  162 points

The total points by  Johnson High School   =  159 points

The total points by  Roosevelt High School =  108 points

The total points by  Lewis High School =  196 points

Washington High School  has WON the meet.

Johnson High School came second.

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Step-by-step explanation:

Points awarded for first place = 10 points

Points awarded for second place = 8 points

Points awarded for third place = 7 points

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10 first places  = 10 x ( 10) = 100 points

6 second places  = 6 x ( 8) = 48 points

2 first places  = 2 x ( 7) = 14 points

So, the total points by  Washington High School  = Sum of all points  

=  100 + 48 + 14   =  162 points     .............. (1)

About Johnson High School

8 first places  = 8 x ( 10) = 80 points

9 second places  = 9 x ( 8) = 72 points

1 first places  = 1 x ( 7) = 7 points

So, the total points by  Johnson High School  = Sum of all points  

=  80 + 72 + 7   =  159 points    .............. (2)

About Roosevelt High School

4 first places  = 4 x ( 10) = 40 points

5 second places  = 5 x ( 8) = 40 points

4 first places  = 4 x ( 7) = 28 points

So, the total points by  Roosevelt High School  = Sum of all points  

=  40 + 40 + 28   =  108 points  .............. (3)

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3 first places  = 3 x ( 10) = 30 points

3 second places  = 3 x ( 8) = 24 points

6 first places  = 6 x ( 7) = 42 points

So, the total points by  Lewis High School  = Sum of all points  

=  30 + 42 + 24   =  96 points      .............. (4)

Now, comparing all four equation, we get that:

Washington High School  has WON the meet.

Johnson High School came second.

The difference in the points  = 162 - 159 = 2 points

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