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sleet_krkn [62]
3 years ago
12

What is the measure of each interior angle in a regular 30-gon?

Mathematics
1 answer:
Rasek [7]3 years ago
5 0
Exterior angles always add up to 360 degrees so for 30-gon each exterior angles is 12 degrees (360/30)

To get the interior angles you subtract 180 from 12 to get 168 degrees
You might be interested in
Which statements are true?
djyliett [7]

Answer:

All Triangles are closed figure polygons that have three straight sides

Step-by-step explanation:

All 2D shapes are plane figures so this one is false. Three right angles are greater than 180 so this is fake. Polygon and closed figures are shapes with three or more closed sides. And triangles have straight sides.

3 0
3 years ago
Solve the equation: k^2+5k+13=0
mr_godi [17]

Step-by-step explanation:

k² + 5k + 13 = 0

Using the quadratic formula which is

x =  \frac{ - b \pm \sqrt{ {b}^{2} - 4ac } }{2a}  \\

From the question

a = 1 , b = 5 , c = 13

So we have

k =  \frac{ - 5 \pm \sqrt{ {5}^{2} - 4(1)(13) } }{2(1)}  \\  =  \frac{ - 5 \pm \sqrt{25 - 52} }{2}  \\  =  \frac{ - 5 \pm \sqrt{ - 27} }{2}  \:  \:  \:  \:  \:  \:  \\  =  \frac{ - 5  \pm3 \sqrt{3}  \: i}{2}  \:  \:  \:  \:  \:  \:

<u>Separate the solutions</u>

k_1 =  \frac{ - 5 + 3 \sqrt{3} \: i }{2}  \:  \:  \:  \: or \\ k_2 =  \frac{ - 5 - 3 \sqrt{3}  \: i}{2}

The equation has complex roots

<u>Separate the real and imaginary parts</u>

We have the final answer as

k_1 =  -  \frac{5}{2}  +  \frac{3 \sqrt{3} }{2}  \: i \:  \:  \:  \: or \\ k_2 =  -  \frac{5}{2}  -  \frac{3 \sqrt{3} }{2}  \: i

Hope this helps you

8 0
3 years ago
5-2.1=? 5-2.17=? 5-2 7/8 solve make sure to re-check your self before answering or no forty points
frozen [14]

Answer: 5-2.1= 2.9

5-2.17= 2.83

5-2 7/8= 2.125

6 0
4 years ago
The odds in favor of jim beating a friend at golf are 1:8. find the probability that jim will win.
agasfer [191]

The probability that jim will win = P(A) = 1/9

<h3>What is  probability?</h3>

The area of mathematics known as probability deals with numerical descriptions of how likely it is for an event to happen or for a claim to be true. A number between 0 and 1 is the probability of an event, where, broadly speaking, 0 denotes the event's impossibility and 1 denotes its certainty.

<h3>According to the given information :</h3>

The odds in favor of jim beating a friend at golf are =  1:8

Let A be the event that Jim beating a friend golf.

So,

according to ratio, it becomes

P(A)/P(A') = 1/8

P(A) = 1x

P(A')  = 8x

we know that :

P(A) + P(A') = 1

x + 8x = 1

9x = 1

x = 1/9

so that

P(A) = 1/9

P(A')  = 8/9

the probability that jim will win = P(A) = 1/9

To know more about probability visit:

brainly.com/question/10735118

#SPJ4

3 0
2 years ago
Need additional math help 50 pts
Alex17521 [72]

Answer:

12

Step-by-step explanation:

This thing to know about this question is that angle 1 and angle 3 are actually the same.

When two lines intersect, the opposite angles such as that shown in 1 and 3 are equal to each other.

So what you can do is set angle 1 and 3 equal to each other like so:

5x+10 = 70

Then solve for x

5x+10 = 70

5x = 60

x = 12

6 0
2 years ago
Read 2 more answers
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