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Arisa [49]
3 years ago
6

In a warehouse, boxes have been stacked in 4 layers as shown. The workers make other stacks according to the same pattern. If a

stack has "n" layers, how many boxes are in the bottom layer? Write an expression.

Mathematics
1 answer:
FromTheMoon [43]3 years ago
6 0

Answer:

7n

Step-by-step explanation:

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In the figure, Ð1 and Ð3 are vertical angles, and Ð2 and Ð4 are vertical angles.
Ede4ka [16]

Answer:

mÐ4 = 30°

Step-by-step explanation:

Vertical angles are angles that are opposite to each other, thus are said to be equal.

Since,

i. Ð1 and Ð3 are vertical angles

ii. Ð2 and Ð4 are vertical angles

This implies that the measure of Ð1 and Ð3 are congruent. And also the measure of Ð2 and Ð4 are congruent.

So that, if mÐ2 = 30°, it would be expected that mÐ4 has the same measure. This implies that mÐ4 = 30°.

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3 years ago
AB is the angle bisector of CAD. Solve for the missing variable?
Alika [10]

Answer:

x=8^\circ

Step-by-step explanation:

A bisector is the line that divides an angle (which in this case is \angle CAD) exactly in half. Therefore, \angle CAB = \angle BAD and as such we can solve for x:

\angle CAB &= \angle BAD\\33^\circ &= 4x + 1^\circ\\4x = 32^\circ\\x = 8^\circ

and we are done.

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3 years ago
If there were 80 points scored overall, how many of them were scored by Bridgette? she scored 5% of the points
Simora [160]

Answer: she scored 4 points

Step-by-step explanation: 5% of 80=4

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3 years ago
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Prove that the two circles shown below are similar.
s344n2d4d5 [400]

The circles B and D are similar since the radius of the former is as twice as the radius of the latter.

<h3>Are the two circles shown in the figure similar?</h3>

By geometry we know that circles are defined by only one characteristic: radius. If two circles are similar, then the radii must be <em>different</em>. After a quick look at the figure, we conclude that the radii are r_{B} = 4 and r_{D} = 2. Hence, the circles B and D are similar since the radius of the former is as twice as the radius of the latter.

To learn more on similarity: brainly.com/question/12670209

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