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Ksenya-84 [330]
3 years ago
8

Need help please someone

Mathematics
1 answer:
Natalka [10]3 years ago
8 0
19.B 20. D 21. A. 22. A
You just put in calculator make sure you click the mode button and highlight degree so it can work
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Which figure will tessellate the plane? A. regular pentagon B. regular decagon C. regular octagon D. regular hexagon
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<h3>Answer: D. regular hexagon</h3>

A hexagon is composed of 6 congruent equilateral triangles. Each equilateral triangle has interior angle of 60 degrees. Adding 6 such angles together gets you to 360 degrees. So we've done one full rotation and covered every bit of the plane surrounding a given point. Extend this out and you'll be able to cover the plane. A similar situation happens with rectangles as well (think of a grid, or think of tiles on the wall or floor)

In contrast, a regular pentagon has interior angle 108 degrees. This is not a factor of 360, so there is no way to place regular pentagons to have them line up and not be a gap or overlap. This is why regular pentagons do not tessellate the plane. The same can be aside about decagons and octagons as well.

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