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4vir4ik [10]
3 years ago
10

If a 12-sided regular polygon rotates about its center, at which angle of rotation will the image of the polygon coincide with t

he prelmage?
O A 750
B. 45
oc 360
D. 30
Mathematics
1 answer:
AfilCa [17]3 years ago
8 0

Answer:

D. 30

Step-by-step explanation:

At the center of the polygon are twelve 30° angles - 360° / 12.If the polygon is rotated 30° the image (transformation) shall coincide with the preimage (the figure before transformation).

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#4 find the value of x round answer to the nearest tenth
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Answer:

Step-by-step explanation:

Since this is a right angled triangle:

tan(∅) = opposite side/adjacent side

In this triangle:

tan(25°) = x/19

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3 years ago
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What is a radius of a circle given by the equation x²-2x+8y-47=0
Zolol [24]
First, we are going to rewrite it as a parabola equation.
Rewrite.
8y=-x^2+2x+47
Divide by 8.
y=-\frac{x^2}{8}+\frac{x}{4}+\frac{47}{8}
Factor out coefficient.
y=-\frac{1}{8}\left(x^2-2x\right)+\frac{47}{8}
Then, we are going to convert x into square form.
y=-\frac{1}{8}\left(x^2-2x+1\right)+\frac{1}{8}\cdot \:1+\frac{47}{8}
Convert the whole expression into square form.
y=-\frac{1}{8}\left(x-1\right)^2+\frac{1}{8}\cdot \:1+\frac{47}{8}
Simplify.
y=-\frac{1}{8}\left(x-1\right)^2+6
Subtract 6 from both sides.
y-6=-\frac{1}{8}\left(x-1\right)^2
Divide by coefficient.
-8\left(y-6\right)=\left(x-1\right)^2
Rewrite in standard form.
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The radius of the circle will be -2. Also, no matter what the sign says, the radius has to always be positive. 
Have a nice day! :)
7 0
3 years ago
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Label the slope and y intercept​
Pie

Answer:

slope= 1/2

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serg [7]
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What is the simplified form of this expression?<br> (3 - 13x - 7x?) - (5X2 + 12x - 10)
tatiyna

Answer:

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Step-by-step explanation:

(3-13x-7x)-(5x^2+12x-10)

3-20x-5x^2-12x+10

-5x^2-32x+13

6 0
3 years ago
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