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saw5 [17]
3 years ago
14

Which figure will tessellate the plane? A. regular pentagon B. regular decagon C. regular octagon D. regular hexagon

Mathematics
1 answer:
Harrizon [31]3 years ago
5 0
<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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FrozenT [24]

Answer:

10.77 units

Step-by-step explanation:

By imaging an imaginery line at point before 1 units to be 4 units: b = 4 units

Therefore h = 11 - 1 = 10 units

Using Pythagoras theorem:

x² = h² + b²  = 10² + 4² = 100 + 16 = 116

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2 years ago
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1 year ago
Which of the following are ordered pairs for the equation y = 1/3x - 1?
stellarik [79]

Answer:

answer is the 2nd one

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y = 1/3(3) - 1 = 1 - 1 = 0   (3,0)

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8 0
3 years ago
1. 8y = 48<br> 2. q — 12 = 1<br> 3. 18 = a/2<br> 4. r/3 = 7<br> 5. 11 = m — 4
Nookie1986 [14]

Hello!

1. 8y = 48 => y = 48 : 8 => y = 6

2. q - 12 = 1 => q = 1 + 12 => q = 13

3. 18 = a/2 => a = 18 × 2 => a = 36

4. r/3 = 7 => r = 3 × 7 => r = 21

5. 11 = m - 4 => m = 11 + 4 => m = 15

Good luck! :)

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