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Anna [14]
4 years ago
10

The measures of a pair of consecutive angles of a parallelogram have the ratio 5:7. Find the measure of each angle of the parall

elogram.
Mathematics
1 answer:
Margaret [11]4 years ago
4 0
5 : 7 = 5x : 7x

Sum of a pair <span>of consecutive angles of a parallelogram = 180⁰.

5x+7x=180
12x = 180
x= 15

5x=15*5 = 75⁰
7x=15*7 = 105⁰

Two angles are 75⁰ each,
and 2 angles 105⁰ each.

Check:
Sum of angles in the </span><span>parallelogram is 360⁰.
</span><span>75*2 + 105*2 = 360
360 = 360 True

</span>
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Step-by-step explanation:


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3 years ago
Thirty Mercedes and Audi participated in a 30 mile race. The average driving speed of the Mercedes and Audi were recorded. A ran
vladimir1956 [14]

Answer:

Median for sample 1 = 142

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Step-by-step explanation:

For Sample 1:

For finding median, the data is first arranged into ascending or descending order. We are arranging the data in ascending order.

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The formula for calculating the term which will be median is:

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For Sample 2:

For finding median, the data is first arranged into ascending or descending order. We are arranging the data in ascending order.

112, 112, 113, 114, 125, 134, 141, 145, 146, 163, 165

The formula for calculating the term which will be median is:

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Here in sample 2, n=11

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7 0
3 years ago
1.Solve the inequality (x-2)(x+1) ≥ 0 .
scoray [572]

Answer:

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interval notion: ( -∞,-1] U [2,∞)

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equation form: x=1,y=7 and x=7,y=1

Step-by-step explanation:

#1: solve for x by simplifying both sides of the inequality, then isolating the variable.

#2: N/A

#3: solve for the first variable in one of the equations, then substitute the results into the other question.

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