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tankabanditka [31]
3 years ago
6

Which rotation about its center will carry a regular decagon onto itself

Mathematics
2 answers:
timofeeve [1]3 years ago
8 0

Answer:

The answer is any multiple of 36.

Step-by-step explanation:

A decagon has 10 sides, and it has 10 exterior angles of 36° as can be seen in the picture.

Therefore, by rotating the decagon about its center by multiples of 36° will carry a regular decagon onto itself.

Any multiple of 36 could be: 36, 72, 108, 144, 180, 216, 252, 288, etc...

snow_lady [41]3 years ago
3 0
A decagon has 10 sides so every 36 degrees, you would encounter another side.
So, the answer is a 36 degree rotation.

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To get this, first, transform the mixed numbers into improper fractions. To do this, multiply the denominator and the whole number then add to the numerator.

Once this is done, set up the equation of -25/3 x 17/5 and cross multiply - -25 and 17 then 3 and 5. Don't forget that the 25 is negative so the product of the numerators will be negative!

Once this is done, you'll have a larger negative improper fraction. You'll need to transform it into a mixed number. To do this, find how many times 15 goes into 425 (28). The remainder will be the fraction or 1/3. Make sure to simplify the fraction!

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Learn More

Area of a rectangle : brainly.com/question/10865708

Keyword : rectangle, area, percent increase

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