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riadik2000 [5.3K]
3 years ago
15

Find the angle(s) of rotation that will carry a 12 sided polygon onto itself.

Mathematics
1 answer:
Reptile [31]3 years ago
6 0
There are 2 ways of looking at this problem:

1. Mathematical
2. Logical

Personally, I think #2 is the most efficient way of answering:

When you think about it, in order to complete a full rotation, an object must rotate 360°. 

Therefore in order for a 12-sided polygon to rotate onto itself, the angle of rotation is 360°.

Hope this helps!
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Let's x represents the first odd integer

The next consecutive integer would be represented as x+2.

So x and x+2 being multiplied together will give us 1443:

(x)(x+2)=1443

x^2+2x=1443

x^2+2x-1443=0

By solving the quadratic equation using the quadratic formula, x will equal to 37 and -39.

Since the problem says "integers", so I'm assuming two pairs of consecutive integers would be ok.

With that said you 1st pair will be: 37,39

Your second pair will be: -37,-39.



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