Answered

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What is the least angle of rotation that maps the regular heptagon onto itself? Round your answer to
the nearest whole degree.

Sagot :

MrRoyal

Answer:

[tex]Minimum = 51^{\circ}[/tex]

Step-by-step explanation:

Given:

[tex]Shape = Heptagon[/tex]

Required

Determine the least angle of rotation that places the heptagon on itself

First, we write out the number of sides of a heptagon

[tex]Sides = 7[/tex]

Next, we write out the measure of 1 complete rotation

[tex]1\ Complete\ Rotation = 360^{\circ}[/tex]

The minimum angle of rotation is then calculated as:

[tex]Minimum = \frac{1\ Complete\ Rotation}{Sides}[/tex]

[tex]Minimum = \frac{360^{\circ}}{7}[/tex]

[tex]Minimum = 51.4285714286^{\circ}[/tex]

[tex]Minimum = 51^{\circ}[/tex]

Hence, the minimum rotation angle is [tex]51^{\circ}[/tex]

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