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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.
Hey there!!
We know angle DEC = angle AEB
Hence,
... 4x + 12 = 5x - 10
... - x = - 22
... x = 22
4 ( 22 ) + 12
88 + 12
100° is the answer.
Hope my answer helps!
The easiest way to find this answer is to work through it step by step.
She starts with 75 pieces.
She eats 5 pieces, so the # of pieces goes down from 75 to 75-5 = 70.
So she has 70 pieces left to put in the bags.
She puts the same amount in each of 10 bags... so we divide 70 by 10 to find the # of pieces in each bag.
70 divided by 10 is 7.
She put 7 pieces in each bag.
