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Simora [160]
3 years ago
7

You would not be able to create a tessellation with an octagon right?

Mathematics
1 answer:
Ede4ka [16]3 years ago
4 0
Yes you are correct. An octagon cannot tessellate the plane. The reason why is because the interior angle is 135 degrees which is not a factor of 360. Trying to line up the angles will have overlap of the polygons. A tessellation happens when there are no gaps or overlaps of the polygons (think of a tile floor).

Contrast this with a regular hexagon which has an interior angle of 120 degrees, or an equilateral triangle with an interior angle of 60 degrees. Both 120 and 60 are factors of 360, so this shows that a regular hexagon and an equilateral triangle can be used to tessellate the plane. 
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-(4+h)=3h solve please
docker41 [41]

Answer:

h = -1

Step-by-step explanation:

- (4 + h) = 3h

- 4 - h = 3h

- h - 3h = 4

- 4h = 4

- h = 4/4

- h = 1

h = - 1

4 0
3 years ago
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What is the area of the trapezoid with height 10 units?
aleksley [76]

If by "long leg lengths" you mean the hypotenuse then the area is 116 sq. units.  If you mean the bases of the triangles then the area is 170 sq. units.

If the length of 12 is the hypotenuse, we first must find the base of the triangles using the Pythagorean theorem:

10² + b² = 12²

100 + b² = 144

b² = 44

b = √44 = 6.6

This means we have two triangles and a rectangle.  The area of the rectangle is 5(10) = 50 sq. units.  The area of each triangle is 1/2(6.6)(10) = 33.  Adding all 3 together we have:

50+33+33 = 116 sq. units.

If the 12 is the base, then we have the rectangle with the area of 5(10) = 50 and two triangles each with an area of 1/2(12)(10) = 60:

50+60+60 = 170 sq. units.

3 0
3 years ago
What is the value of z?
andreyandreev [35.5K]

Answer:

122 degrees, because x and z are alternate interior angles

122 degrees, because 58 degrees and z are same side interiors which add to 180

Step-by-step explanation:

1) we know that

m∠x=m∠z -----> by alternate interior angles

m∠x+58°=180° ----> by supplementary angles (form a linear pair)

m∠x=180°-58°=22°

therefore

m∠z=22°

2) m∠z+58°=180° ----> by same side interior angles

solve for z

m∠z=180°-58°=122°

therefore

122 degrees, because x and z are alternate interior angles

122 degrees, because 58 degrees and z are same side interiors which add to 180

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3 years ago
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aev [14]

Answer:

I might be wrong but I think this is the answer 10460353203

Step-by-step explanation:

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Dmitrij [34]

Answer46789

Step-by-step explanation:

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3 years ago
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