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PolarNik [594]
3 years ago
12

How many sides does a regular polygon have if each exterior angle measures 30 degree

Mathematics
1 answer:
Nataly [62]3 years ago
5 0
As the exterior angles always add up to 360, you can find the number of sides by dividing 360 by the measure of your exterior angle, 30. This gives you 360/30=12, meaning your polygon has 12 sides.
You might be interested in
find the value of the polygon. the polygon has 6 interior angles 2 of them are y and 4 of them are (2Y-20)
Anna35 [415]
First we need to determine what the 6 angles must add to. Turns out we use this formula

S = 180(n-2)

where S is the sum of the angles (result of adding them all up) and n is the number of sides. In this case, n = 6. So let's plug that in to get

S = 180(n-2)
S = 180(6-2)
S = 180(4)
S = 720

The six angles, whatever they are individually, add to 720 degrees. The six angles are y, y, 2y-20, 2y-20,  2y-20,  2y-20, <span> 

They add up and must be equal to 720, so let's set up the equation to get...

(y)+(y)+(</span>2y-20)+(2y-20)+(2y-20)+(<span>2y-20) = 720

Let's solve for y

</span>y+y+2y-20+2y-20+2y-20+2y-20 = 720

10y-80 = 720

10y-80+80 = 720+80

<span>10y = 800
</span>
10y/10 = 800/10

y = 80

Now that we know the value of y, we can figure out the six angles

angle1 = y = 80 degrees
<span>angle2 = y = 80 degrees
</span><span>angle3 = 2y-20 = 2*80-20 = 140 degrees
</span>angle4 = 2y-20 = 2*80-20 =<span> 140 degrees
</span><span>angle5 = 2y-20 = 2*80-20 = 140 degrees
</span>angle6 = 2y-20 = 2*80-20 =<span> 140 degrees
</span>
and that's all there is to it
3 0
3 years ago
Neeeeed helpppppp please
MissTica

Answer:

Scale factor = 7

Step-by-step explanation:

Dilation with scale factor to map HEFG to DABC will be,

Scale factor = \frac{\text{Dimension of Image DABC}}{\text{Dimension of preimage HEFG}}

                    = \frac{\text{Length of CD}}{\text{Length of GH}}

Length of CD = Distance between two points C(0, -7) and D(-7, 0)

                       = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

                       = \sqrt{(-7-0)^2+(0+7)^2}

                       = \sqrt{98}

                       = 7\sqrt{2}

Length of GH = Distance between G(0, -1) and H(-1, 0)

                       = \sqrt{(-1-0)^2+(0+1)^2}

                       = \sqrt{2}

Scale factor = \frac{7\sqrt{2} }{\sqrt{2} }

                    = 7

6 0
2 years ago
Please first person to answer question will be marked as branliest and will be given 5 likes
juin [17]

Answer:

A.) x=-3

B.) I have no clue I'm sorry I haven't learned anything over square method

Step-by-step explanation:

5 0
3 years ago
Chet's father is 5 times as old as Chet. In 6 years, his father will
zaharov [31]

Answer: Chet is 6 years old now

Step-by-step explanation:

Chet is 6 years old now and his father is 5 x 6 years = 30 years old now.


In 6 years, Chet will be 12 years old, so his father will be 3 x 12 years old = 36 years old.

6 0
1 year ago
Why does the term angle need to be defined prior to defining perpendicular lines?
igor_vitrenko [27]

Perpendicular lines<span> are two or more lines that intersect at a 90-degree angle, like the two lines drawn on this graph, and the x and y axes that orient them.</span>

<span> </span>

8 0
2 years ago
Read 2 more answers
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