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pishuonlain [190]
3 years ago
8

If a 12-sided regular polygon rotates about its center, at which angle of rotation will the image of the polygon coincide with t

he preimage?
A.
75°
B.
45°
C.
36°
D.
30°
Mathematics
1 answer:
Archy [21]3 years ago
8 0

Answer:

The sum of the left turns equals 360 degrees (the turtle has completely rotated around). In math terms, the sum of the external angles of a regular polygon is 360 degrees. Here, we have a 12-sided regular polygon which rotates until the image coincides with the preimage. That is 360/12 = 30 degrees (the outside angle). I think the angle is 30 degrees because the polygon has total of 360 degree then divide it to 12 then you will came up with a 30

Step-by-step explanation:

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barxatty [35]

Answer:

r = -39

Step-by-step explanation:

So we are trying to solve the equation for r.

-6(2r + 8) = -10(r - 3)

Divide both sides by -2. (This will make distributing much easier.)

3(2r + 8) = 5(r - 3)

Distribute the 3 on the left side and the 5 on the right side,

6r + 24 = 5r - 15

Subtract 24 from both sides.

6r = 5r - 39

Subtract 5r from both sides.

r = -39

So now we have solve the equation.

I hope you find my answer and explanation to be helpful. Happy studying. :)

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3 years ago
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aalyn [17]

Answer:

y = 500x + 1000

Step-by-step explanation:

The standadrd equation of a line is expressed as y = mx+b

m is the slope

is the y-intercept

Using the coordinate points (0, 1000) and (6, 4000)

Slope = y2-y1/x2-x1

Slope  = 4000 - 1000/6-0

Slope m = 3000/6

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Since the line cut the y axis at y = 1000, hence the intercept b = 1000

Get the required equation;

Reall that y = mx+b

y = 500x + 1000

3 0
3 years ago
A bag contains 7 pieces of paper numbered 1 to 7. P(2)=. Is this an experimental or theoretical probability and why?
Lera25 [3.4K]

Answer:

theoretical probability

Step-by-step explanation:

This is theoretical probability.  The 7 pieces of paper each bear one number from {1, 2, ... , 6, 7}.  There is only one piece of paper marked 7.  So the probability of drawing a 2 is  1/7.  

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Y=1/2x is the equation
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3 years ago
Simplify as much as possible:<br> (7nm5o2) (-3m3o5)2
Yakvenalex [24]

Answer:

63m^11 no^12

Step-by-step explanation:

Dont know if thats o or and zero but I solve it by using o..if it was a zero then comment that so I can redo it anyways heres the explanation

(7nm^5 o^2) × (-3m^3 o^5)^2

7m^5 no^2) ×(-3m^3 o^5) ^2

(7m^5 no^2) × (3m^3 o^5)^2

7m^5 no^2 × (3m^3 o^5) ^2

7m^5 no^2 × 9m^6 o^10

63m^11 no^12

3 0
3 years ago
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