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NeTakaya
3 years ago
11

PLEASE HELP!!!! What is the smallest degree of rotation that will map a regular 20-gon onto itself?

Mathematics
1 answer:
saveliy_v [14]3 years ago
8 0

Answer: 18^{\circ}


Step-by-step explanation:

For a regular 20-gon, since  there are 20 vertices that the polygon can be rotated  and be mapped onto itself .Thus the order of symmetry of 20-gon is 2.

To find the degrees of rotational symmetry, we need to divide 360° by the order of symmetry.

Thus, the degree of rotation=\frac{360^{\circ}}{20}=18^{\circ}

Hence,  the smallest degree of rotation that will map a regular 20-gon onto itself=18^{\circ}




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qaws [65]
Y = kx

Plug in what we know:

5 = k(8)

5 = 8k

Divide 8 to both sides:

k = 0.625

Plug this back into the equation along with y = 15:

y = kx

15 = 0.625x

Divide 0.625 to both sides:

x = 24
4 0
3 years ago
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The length of a rectangle is 3 more than the width fine the length if the perimeter is 98 inches
german

Answer - Width 23

Length - 26



W = Width


L + 3 = Length



Perimeter = 2L = 2W


98 = 2(W + 3) + 2W


98 = 2W + 6 + 2W


98 = 4W + 6


92 = 4W


W = 92/4


W = 23


Width is 23 inches

Length is 3 more -- 23 + 3 = 26



We can double check our work:


26 + 26 + 23 + 23 = 98 Inches



Best of luck,

The Artemis Wolf

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3 years ago
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Answer:

0

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Any line parallel to the x axis is 0

any line parallel to the y axis is infinite/un-defined

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19 ≥ 3f+1 ≥5 pls help
Juliette [100K]

Answer:

Hi...u should do like this

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3 years ago
F(x) = x^2-3<br> What is the average rate of change on the interval [-5, 2] ?
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Answer:

(-3).

Step-by-step explanation:

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The average rate of change of function f over this interval is equal to the change in the function value divided by the corresponding change in x:

\begin{aligned}& (\text{average rate of change}) \\ =\; & \frac{(\text{change in function value})}{(\text{change in $x$})} \\ =\; & \frac{f(-5) - f(2)}{(-5) - 2} \\ =\; & \frac{22 - 1}{-7} \\ =\; & \frac{21}{-7} \\ =\; & -3\end{aligned}.

Thus, the average rate of change of f(x) = x^{2} - 3 over the interval [-5,\, 2] would be (-3).

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