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jok3333 [9.3K]
3 years ago
5

What is the smallest angle of rotational symmetry that maps a regular pentagon onto itself?

Mathematics
2 answers:
just olya [345]3 years ago
8 0

Consider the regular pentagon ABCDE, with center (of mass)  O.

The central angle O is a complete angle, so its measure is 360°.

It is divided into 5 equal parts, so each of them has a measure of 360°/5=72°.

If we rotate the pentagon, with point O as the center of the rotation, we can map A to any of the other points.

The smallest angle of rotation is the angle which mas A to E, 72°.

Answer: 72°

shtirl [24]3 years ago
3 0
72 degrees
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Write the equation of the line, given the y and x-intercepts:
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Answer:

The answer to your question is:                161x + 17y - 391 = 0

Step-by-step explanation:

Data

y-intercept = 23         Get the points      (0, 23)

x- intercept = 4.75                                   (4.75, 0)

                      4.75 = 17/4                         (17/4, 0)

slope

              m = (y2 - y1) / (x2 - x1)

              m = (0 - 23) / (17/4 - 0)

              m = -23 / 17/4

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equation

              (y - y1) = m (x - x1)

              ( y - 23) = -161 / 17 (x - 0)

               y - 23 = -161/17 x

              17(y - 23) = -161x

              17y - 391 = -161x

              161x + 17y - 391 = 0

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Step-by-step explanation:

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