The sum of the measures of the interior angles of the chess board is equal to 720°.
<h3>What is a polygon?</h3>
A polygon can be defined as a two-dimensional geometric shape that comprises straight line segments and a finite number of sides. Also, some examples of a polygon include the following:
- Triangle
- Quadrilateral
- Pentagon
- Hexagon
- Heptagon
- Octagon
- Nonagon
<u>Note:</u> The number of sides (n) of a hexagon is 6.
In Geometry, the sum of the interior angles of both a regular and irregular polygon is given by this formula:
Sum of interior angles = 180 × (n - 2)
Sum of interior angles = 180 × (6 - 2)
Sum of interior angles = 180 × 4
Sum of interior angles = 720°.
Read more on sum of interior angles here: brainly.com/question/13293407
#SPJ1
Answer:
from my opinion second option is right
step 2 would be 10
step 4 would be 10x-x = 9x =7
x = 7/9
Answer:
(x + 14)² + (y – 21/2)² = 1
Step-by-step explanation:
The equation of a circle can be written as seen below
(x – h)² + (y – k)² = r²
Where (h,k) is at the center and r = radius
We are given that the radius is 1
We are also given that the center is at (-14,21/2)
So we know that r = 1, h = -14, and k = 21/2
So to find the equation of the circle we simply substitute these values into the equation of a circle
Equation of a circle: (x – h)² + (y – k)² = r²
r = 1, h = -14, and k = 21/2
Substitute values
(x – (-14))² + (y – 21/2)² = 1²
1^2 = 1
The two negative signs before the 14 cancel out and it changes to + 14
The equation of a circle with a center at (-14,21/2) and a radius of 1 is (x + 14)² + (y – 21/2)² = 1
n, n + 2 - two consecutive even integers
3n = 2(n + 2) + 16 |use distributive property
3n = (2)(n) + (2)(2) + 16
3n = 2n + 4 + 16
3n = 2n + 20 |subtract 2n from both sides
n = 20
n + 2 = 20 + 2 = 22
Answer: 20, 22.
