Answer: 27.69⁰
Step-by-step explanation:
Formula for finding the internal angle of a regular polygon is
( 2n - 4 )right angle triangle or
( 2n - 4 )90°, it can also be broken down by factorizing the expression since 2 is common,
( n - 2 )180 or supplementary
Now to find the value of n which correspond to the number of sides the polygon has, we equate the formula to the angle sum of the polygon.
( n - 2 ) × 180° = 1980°
open the bracket
180n° - 360° = 1980°
180n° = 1980° + 360°
= 2340
To find n, divide by 180 which is the coefficient of n
n = ²³⁴⁰/₁₈₀
= 13
The polygon has 13, sides
To find the measure of each angle,
Recall, the sum total of external angle = 360⁰
Therefore, to find the value of each of the angles, we divide 360 by n which is 13
³⁶⁰/n
= ³⁶⁰/₁₃
= 27.69⁰
Miss Sarah will need the same amount as Mr. Tom if she divides 1/16 by 2 and get 1/8. So they will have the same amount of cheese as the other person does
We know that
the equation of a circle is
(x-h)²+(y-k)²=r²
where
(h,k)-----> is the center
r--------> is the radius
is the center is the point (0,0) and radius r=20
then
(h,k) is (0,0)
(x-0)²+(y-0)²=20²---------> (x)²+(y)²=400
the answer is
the option D.) x2 + y2 = 400
2/7 as a fraction rounds to 0.3
0.3 * 3 = 0.9
3 x 2/7 is less than 3
