<h3>
Answer: 20 sides</h3>
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Work Shown:
x = exterior angle
9x = interior angle
interior + exterior = 180
9x+x = 180
10x = 180
x = 180/10
x = 18
n = number of sides
n = 360/x
n = 360/18
n = 20
There are <u>20</u> sides to the regular polygon.
Side notes:
- The formula to determine n only works for regular polygons.
- A polygon with 20 sides is known as an icosagon.
- Any pair of adjacent interior and exterior angles are supplementary. They add to 180 degrees.
Answer: All real numbers
Step-by-step explanation:
−2(x + 3) = −2(x + 1) − 4
-2x -6 = -2x -2 -4
-2x -6 = -2x -6
-2x = -2x
Answer:
Number 6 is 1/6
Number 7 is 5/6
Number 8 is 3/6 or 1/2
Step-by-step explanation:
6. 
chance of landing on a 2 because there are 6 sides and the probability is equal.
There is a 1/6 chance it will land on 1, 2, 3, 4, 5, and 6. So 1/6 is the answer.
7. 
chance of not landing on 5. There are 5 "non-5" numbers. So 5/6 is the answer.
8. Let's see the odd numbers: 1, 2, 3, 4, 5, 6.
1, 3, and 5 are odd. So that's half of the numbers so the answer would be 
or simplified to 
.
A is the only number line that correctly shows the locations of all given values.
Answer=A
***EDIT***
Okay, so if you look at the number line, you notice that the distance between one line and the next is equal to 1/4. When we move to the left, we decrease in value. When we move to the right, we increase in value.
So, knowing that, lets look at A and see if all of the numbers are correctly placed.
1/2 should be two lines to the right of 0 (since distance between one line and the next is equal to 1/4, and 1/4+1/4=2/4 or 1/2)
-4 is a relatively easy value to find, since its line is labeled.
-2 3/4 should be three lines to the right of -2 (since distance between one line and the next is equal to 1/4, and 1/4+1/4+1/4=3/4 and if you go 3/4 to the left of -2 u get -2 3/4)
(-2-3/4=-2 3/4)
1 1/4 should be three lines behind 2 (since distance between one line and the next is equal to 1/4, and 1/4+1/4+1/4=3/4 and if you go 3/4 to the left of 2 you get 1 1/4)
(2-3/4=1 1/4)
So?
-756*x +x =1 ?
-755 x = 1
x= -1/755
or
what two numbers when multiplied equal -756 but when added together equal 1?
numbers are x and y
x*y= -756
x+y=1
rearrange the 2nd eq
y=1-x
substitute
x(1-x)=-756
distribute
x-x^2=-756
solve for zero
x^2-x-756=0
factor/quadratic equation
