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diamong [38]
3 years ago
5

A regular dodecagon (12 sided polygon) is rotated n degrees about it's center, carrying the dodecagon onto itself. What is the m

inimum number of degrees it must be rotated to carry the dodecagon onto itself? *
A. 30 degrees
B. 15 degrees
C. 60 degrees
D. 90 degrees
Which one?
Mathematics
1 answer:
mojhsa [17]3 years ago
7 0

Answer:

30 degrees

Step-by-step explanation:

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Jalen inherited a collection of vintage comic books. An appraiser separated the comic
sladkih [1.3K]

Jalen has total 63 comic books.

Step-by-step explanation:

Given,

Total value of comic books = $3135

Let,

Number of $45 comic books = x

Number of $65 comic books = y

According to given statement;

45x+65y=3135     Eqn 1

x=y+33                  Eqn 2

Putting value of x from Eqn 2 in Eqn 1

45(y+33)+65y=3135\\45y+1485+65y=3135\\110y=3135-1485\\110y=1650\\

Dividing both sides by 110

\frac{110y}{110}=\frac{1650}{110}\\y=15

Putting y=15 in Eqn 2

x=15+33\\x=48

Total comic books = x+y

Total comic books = 48+15 = 63

Jalen has total 63 comic books.

Keywords: addition, elimination method

Learn more about elimination method at:

  • brainly.com/question/10879401
  • brainly.com/question/10940255

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3 years ago
What is the median value of the data set shown on the line plot?
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I'm more visual, but if you're not, and this confuses you, ask me, and I'll explain it.

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What is <br> not a characteristic of a point
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I need help with this question ASAP!!!!!!!!!!!!
TiliK225 [7]
It 90 degrees because even though the side lengths change the angle measure doesn’t
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A source of laser light sends rays AB and AC toward two opposite walls of a hall. The light rays strike the walls at points B an
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Answer: 70  meters.

Step-by-step explanation:

Observe the figure attached.

The distance between the walls is:

DE=AD+AE

<em />

Both triangles are right triangles. Therefore, you can calculate the distance  between the walls as following:

- Calculate the distance AD:

cos\alpha=\frac{adjacent}{hypotenuse}\\\\cos(60\°)=\frac{AD}{60}\\AD=30m

- Calculate the distance AE:

tan\beta =\frac{opposite}{adjacent}\\\\tan(45\°)=\frac{40}{AE}\\\\AE=\frac{40}{tan(45\°)}\\\\AE=40m

Therefore the distance between the walls is:

DE=30m+40m=70m

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3 years ago
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