Answer:
Part 1) For a octagon, the measure of one interior angle is 135 degrees and the measure of one exterior angle is 45 degrees
Part 2) For a icosagon, the measure of one interior angle is 162 degrees and the measure of one exterior angle is 18 degrees
Step-by-step explanation:
Part 1) we have a 8-gon
we know that
A 8-gon or octagon, Is an eight-sided polygon
step 1
The measure of one interior angle in a octagon is equal to

where
n is the number of sides of the regular polygon
For n=8

step 2
To find the value of a given exterior angle of a regular polygon, simply divide 360 by the number of sides
so

Part 2) we have a 20-gon
we know that
A 20-gon or icosagon, Is a twenty-sided polygon
step 1
The measure of one interior angle in a icosagon is equal to

where
n is the number of sides of the regular polygon
For n=20

step 2
To find the value of a given exterior angle of a regular polygon, simply divide 360 by the number of sides
so

Step-by-step explanation:
-6.5m + 14.3 < -22.75
-6.5m < -37.05
6.5m > 37.05
m > 37.05/6.5 = 5.7
m > 5.7 for this inequality to be true
Answer:
Theres no diagram or drop down menu
lmk when you get it and i will help you
Step-by-step explanation:
Answer:
The answer is
<h3>center = ( - 7 , - 1)</h3><h3>radius = 6</h3>
Step-by-step explanation:
The general equation of a circle is given by
<h3>x² + y² + 2gx + 2fy + c = 0</h3>
where the center of the center of the circle is given by
<h3>( - g , - f)</h3>
From the question the equation is
x² + y² + 14x + 2y + 14 = 0
Comparing with the general equation above we have
2g = 14 2f = 2
g = 7 f = 1 c = 14
So the center of the circle is
<h3>( - 7 , - 1)</h3>
The radius of a circle is given by

where
g = 7
f = 1
c = 14
Substitute the values into the above formula
That's

we have the final answer as
<h3>radius = 6</h3>
Hope this helps you
This is a kite due to the adjacent congruent sides (shown by the tickmarks). With any kite, the diagonals are perpendicular. So angle 3 is 90 degrees.
<h3>Answer: 90 degrees</h3>