Rewrite the first equation: 3y=-2x-17. The equations are coincidental and -17 is one sixth of -102 so the other coefficients need to be multiplied by 6: 18y=-12x-102.
Answer:
Sum of exterior angle of polygon=360
Each exterior angle of polygon =24
Number of sides of polygon=\frac{360}{24}
24
360
=15
=> Number of sides of polygon with each angle of 24 is 15.
Step-by-step explanation:
Answer:
y =-1/4x -8
Step-by-step explanation:
3x+12y=-96
Slope intercept form is y = mx +b where m is the slope and b is the y intercept
Subtract 3x from each side
3x -3x+12y=-3x-96
12y = -3x-96
Divide each side by 12
12y/12 = -3x/12 -96/12
y =-1/4x -8
Let us have a recap first.
For triangle it's 180 degrees in total
Square has 360 degrees in total
Pentagon has 540 degrees total
Hexagon has 720 degrees in total
So these polygons increase by 180 degrees for every side to the polygon starting at three sides instead of one.
Let:
n = number of sides in the polygon
(n-2) * 180 = degrees total inside the polygon
(n-2) * 180 / n = degrees for each angle in polygon
Substitute:
(n-2) * 180 / n = 162
multiply both sides by n
(n-2) * 180 = 162n
then divide both sides by 180
n-2 = 162n / 180
n-2 = 0.9n
subtract 0.9n and add 2 to both sides to get n alone
0.1n = 2
n = 20 sides
Thus,
Icosagon (20-gon) is the term for a 20 sided polygon
Ani will put this in a translator
Step-by-step explanation:
