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topjm [15]
2 years ago
7

Giveing 15 points.Use the rectangle to find the measure of the following angles measure ane BAC=25

Mathematics
1 answer:
Vinil7 [7]2 years ago
4 0

1) All angles of a rectangle are right angles, so the measure of angle CBA is 90 degrees.

2) Since all angles of a rectangle are right angles, angle BAD measures 90 degrees. Subtracting the 25 degrees of angle BAW from this, we get that angle CAD has a measure of 65 degrees.

3) Opposite sides of a rectangle are parallel, so by the alternate interior angles theorem, the measure of angle ACD is 25 degrees.

4) Because diagonals of a rectangle are congruent and bisect each other, this means BW=WA. So, since angles opposite equal sides in a triangle (in this case triangle ABW) are equal, the measure of angle ABW is 25 degrees. This means that the measure of angle CBD is 90-25=65 degrees.

5) In triangle AWB, since angles in a triangle add to 180 degrees, angle BWA measures 130 degrees.

6) Once again, since diagonals of a rectangle are congruent and bisect each other, AW=WD. So, the measures of angles WAD and ADW are each 65 degrees. Thus, because angles in a triangle (in this case triangle AWD) add to 180 degrees, the measure of angle AWD is 50 degrees.

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<h3>What is simple interest?</h3>

Simple interest refers to the interest calculated only on the principal.

With the simple interest method, the borrower only pays interest on the principal without considering the previously-accumulated interests.

<h3>Data and Calculations:</h3>

Principal = $4,700

Interest rate = 4%

Period = 10 months

Simple interest = $156.67 ($4,700 x 4% x 10/12)

Thus, the simple interest of $4,700 principal at 4% interest and 10 months is <u>$156.67</u> and its <u>maturity level</u> is <u>83%</u>.

Learn more about simple interests at brainly.com/question/

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Robin’s scores: 99, 108, 102, 107, 119 Mean = 107; MAD = 5. 2 Evelyn’s scores: 125, 137, 138, 145, 145 Mean = 138; MAD = 5. 6 Ex
IgorLugansk [536]

The absolute distance of the Evelyn scores from her mean score is greater than the absolute distance of Robin scores from his mean score.

<h3>What is Mean?</h3>

Mean is simply defined as the average of the given set of numbers. The mean is considered as one of the measures of central tendencies in statistics. The mean is said to be an arithmetic mean. It is the ratio of the sum of the observation to the total number of observations.

<h3>What is the mean absolute deviation?</h3>

Mean refers to the average of the observation and deviation means the variation from the present standard.

Given

Robin’s scores: 99, 108, 102, 107, 119

Mean = 107

MAD = 5.2

Evelyn’s scores: 125, 137, 138, 145, 145

Mean = 138

MAD = 5.6

The absolute distance of the Evelyn scores from her mean score is greater than the absolute distance of Robin scores from his mean score.

More about the mean and the mean absolute deviation link is given below.

brainly.com/question/10258446

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