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Oksanka [162]
3 years ago
12

Solve for each indicated angle measure or variable in the figure. m x

Mathematics
1 answer:
Elis [28]3 years ago
3 0
If vertical angles are congruent you know

84=4x
21=x

You also know that angle M is supplementary to the angle
, measuring 84. Supplementary means it adds to 180 so if you take the difference you get

180-84=M
96=M


Also M is vertical to the last unknown angle so since vertical angles are congruent the last angle is also 96
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klemol [59]

Answer:

Between 38.42 and 49.1.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean of 43.76, standard deviation of 2.67.

Between what two values will approximately 95% of the amounts be?

By the Empirical Rule, within 2 standard deviations of the mean. So

43.76 - 2*2.67 = 38.42

43.76 + 2*2.67 = 49.1

Between 38.42 and 49.1.

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2 years ago
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6 0
3 years ago
Which figure is described below the locus of points in a plane equidistant between x=4 and x=6
Oksi-84 [34.3K]

Answer:

The picture is black

Step-by-step explanation:

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3 0
2 years ago
The mean of seven positive integers is 16. When the smallest of these seven integers is removed, the sum of the remaining six in
VashaNatasha [74]

Answer: The value of the integer that was removed = 4

Step-by-step explanation:

Sum of <em>n</em> values= Mean x <em>n</em>

Given: n = 7 , Mean = 16

Let x= integer removed.

Sum of remaining 6 integers = 6

\Rightarrow\ x+108 = 16\times7\\\\\Rihghtarrow\ x+108= 112\\\\\Rightarrow\ x=112-108\\\\\Rightarrow\ x= 4

Hence, the value of the integer that was removed = 4

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Answer:

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Step-by-step explanation:

the answer is 1

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