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Umnica [9.8K]
4 years ago
8

What kinds of regular polygons can be used for regular tesselations

Mathematics
2 answers:
Travka [436]4 years ago
6 0
In order for a regular polygon to tile a plane, the interior angle must be a divisor of 360°. The interior angle at each vertex will have measure 180(n -2)/n for an n-sided polygon. So you must have
.. 360/(180(n -2)/n) is an integer
.. = 360n/(180(n -2))
.. = 2 +4/(n -2)

That is, n-2 must be a divisor of 4, one of 1, 2, 4. So, the number of sides of the regular polygon must be 3, 4, 6.

Of your choices, A and D are appropriate.
nikklg [1K]4 years ago
5 0

Answer: 3,4.6

Step-by-step explanation:

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This graph shows the solution to which inequality?
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Answer:

The graph shows the solution of the inequality y > \frac{4}{3} x - 2 ⇒ D

Step-by-step explanation:

In the inequality,

  • If the sign of inequality is ≤ or ≥, then the line that represents it must be a solid line
  • If the sign of inequality is < or >, then the line that represents it must be a dashed line
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  • If the sign of inequality is < or ≤, then the shaded area must be under the line

From the given graph

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∵ The y-intercept is (0, -2)

∵ The line is dashed and the shaded area is over the line

→ By using the 2nd and 3rd notes above, the line is dashed and

   the sign of inequality is >

∴ The inequality is y > \frac{4}{3} x - 2

∴ The graph shows the solution of the inequality y > \frac{4}{3} x - 2

7 0
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Communicate Mathematical Ideas Why do you subtract exponents
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We subtract exponents when diving powers with the same base because they eventually get canceled out when written in expanded form.

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Now, if we subtract the exponents we get the same result.

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So, a^m/a^n = a^m-

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