Answer:
Interior Angle: 165°
Exterior Angle: 15°
Step-by-step explanation:
So first you have to find the sum of all interior angles of a polygon with <u>24 sides</u>. This can be found using the formula:
sum = ( <em>n</em> - 2 ) * 180° where '<em>n</em>' is the number of sides.
When '<em>n</em> = 24' then the sum is:
sum = ( 24 - 2 ) * 180°
Simplify and solve.
sum = 22 * 180°
sum = 3960°
Since there are 24 sides to the polygon, there are 24 interior angles. <u>Assuming that this polygon is equilateral</u>, you can surmise that:
<em>Interior Angle</em> = sum° / <em>n</em> where n is the number of sides,
3960° / 24 = 165° = Interior Angle
Using that information, and combine it with the [Supplementary Angles Theorem] the exterior angle can be found by:
165° + x = 180°
Solve for x.
Answer:
No
Step-by-step explanation:
70 * 8 = 560, not 490
Instead, 70 * 7 = 490
Answer:
Step-by-step explanation:
a number greater than 5 - 1/6
a prime number - 1/2
a number greater than 4 - 1/3
a number less than 6 - 5/6
Let's simplify step-by-step.<span><span>−<span>28x</span></span>+<span>20<span>x
</span></span></span>ombine Like Terms:<span>=<span><span>−<span>28x</span></span>+<span>20x</span></span></span><span>=<span>(<span><span>−<span>28x</span></span>+<span>20x</span></span>)</span></span><span>=<span>−<span>8<span>x
</span></span></span></span>Answer:<span>=<span>−<span>8<span>x</span></span></span></span>
Answer:
(x - 7)² + (y - 3)² = 5
Step-by-step explanation:
The center (h , k) is the midpoint of two end points of diameter
h = (9 + 5) / 2 = 7
k = (4 + 2) / 2 = 3
Equation of circle: (x - h)² + (y - k)² = r²
r = (√(9 - 5)² + (4 - 2)²) / 2 = √5
Equation: (x - 7)² + (y - 3)² = 5
