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MA_775_DIABLO [31]
3 years ago
7

13. The sum of the measures of angle Mand angle Ris 90°.

Mathematics
1 answer:
Sunny_sXe [5.5K]3 years ago
8 0

Answer:

x=5

Step-by-step explanation:

If the sum of the measures of angle M and R is 90 degrees, and you know that angle R is 55 degrees, subtract angle R from the total angle. Then, solve for M

90 - 55 = 35

5x + 10 = 35

5x = 25

x = 5

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<u>Interquartile Range: </u>

Given the Data -> First Quartile = 2, Third Quartile = 5

Interquartile Range = 5 - 2 = 3

<u>Range:</u> 8 - 1 = 7

<u>Variance: </u>

We start by determining the mean,

\:1+\:2+\:3+\:3+\:3+\:5+\:8 / 7 = 3.57

n = number of numbers in the set

Solving for the sum of squares is a long process, so I will skip over that portion and go right into solving for the variance.

\sum _{i=1}^n\frac{\left(x_i-\bar{x}\right)^2}{n-1},\\\\=> SS/n - 1\\\\=> 31.714/7 - 1\\=> 5.28571

5.3

<u>Standard Deviation</u>

We take the square root of the variance,

\sqrt{5.28571} = 2.29906

2.3

If you are not familiar with variance and standard deviation, just leave it.

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Step-by-step explanation:

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Answer:

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A patio has an area of 1420 square feet. If the length is 45 1/2, what is the width​
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[ Answer ]

\boxed{Width \ = \ 31\frac{19}{91} \ Ft^{2}}

[ Explanation ]

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Convert mixed numbers to fractions:

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Use mixed multiplication:

\frac{1420*2}{1*91}

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\boxed{[ \ Eclipsed \ ]}

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