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Serjik [45]
3 years ago
11

What is the sum of the measurements of all the angles in a polygon with k sides?

Mathematics
1 answer:
larisa [96]3 years ago
8 0

Answer:

The sum is equal to (k-2)*180\°  or (k)180\°-360\°

Step-by-step explanation:

we know that

The sum of the interior angles in a polygon is equal to the formula

S=(n-2)*180\°

where

S is the sum of the interior angles of a polygon

n is the number of sides

In this problem we have

n=k\ sides

substitute the value

S=(k-2)*180\°  or S=(k)180\°-360\°

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kirill [66]
8^4x=135
log(8^4x)=log(135
4x*(log(8))=log(135)
4x=log(135)/log(8)
4x=2.358939
4x/4=2.358939/4
x=0.589735
6 0
3 years ago
Write the equation of the circle whose center is (-4,8) and has a diameter of 18
svetoff [14.1K]

Answer:

(x + 4)^2 + (y - 8)^2 = 81

or

(x + 4)^2 + (y - 8)^2 = 9^2 depending on how your teacher wants it written.

Step-by-step explanation:

The standard form for a circle is

(x + h)^2 + (y + k)^2 = r^2

r is the radius.

You are given the diameter

r = d/2

r = 18/2

r = 9

So you already have the right hand side of the equation

(x + h)^2 + (y + k)^2 = 9*2

(x + h)^2 + (y + k)^2 = 81

You basically have h and k as well. They come from the center point.

h = 4

k = - 8

So the equation of the circle (and the answer) is

(x + 4)^2 + (y - 8)^2 = 81

One question remains. Why do the x and y values change signs? If you know what the distance formula is, then what you are finding is the distance r of all points on the circle from the center of the circle.

It is the distance formula that is actually the formula for the circle.

6 0
2 years ago
A regular polygon with an interior angle sum of 9000°? If so, what is it?
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The question ask to determine what is a regular polygon that contains an interior angle of 9000 degree, base on my research, according to the geometrical research, I would say that the said polygon is a 52 sided convex polygon. I hope this would help 
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3 years ago
Help me in number 3!!!
Alecsey [184]
Answer: G

Explanation/Calculation:

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To make it easier, use elimination. It's definitely not J because you are not subtracting -6, but adding (as seen in the equation.) It is not F because 2(3)=6 when the equation needs -6.

So it is either G or H...

H claims that 12x+3+(-6) is what the model symbolizes; but this is incorrect. Unless x is a decimal, you can not have the large shape as the "purest" form (so to speak.) The "purest" state you can go in this model is a cube/square which=1.

Therefore, "G Jamey modeled 12 + 3x + (-6) and it is equivalent to 12x-3" is the correct answer.

Hope this helps you!
8 0
3 years ago
A bag contains 11 tiles, one for each of the letters in the word BLUEBERRIES. You randomly choose a tile.
wel
2/11

there’s 2 R’s and 11 total so

possible outcomes/ overall outcomes
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