Answer:
A rule of polygons is that the sum of the exterior angles always equals 360 degrees. Since it is a regular octagon, so each of the interior angles of octagon are equal. ((n-2)*180)/n where n is the number of sides of the polygon.for example in case n=8 for an octagon, so we get:
((8-2)*180)/8 => (6*180)/8 => 1080/8 = 135 degrees. This means that each interior angle of the regular octagon is equal to 135 degrees.
Each exterior angle is the supplementary angle to the interior angle at the vertex of the polygon, so in this case each exterior angle is equal to 45 degrees. (180 - 135 = 45). Remember that supplementary angles add up to 180 degrees.
And since there are 8 exterior angles, we multiply 45 degrees * 8 and we get 360 degrees.
This technique works for every polygon, as long as you are asked to take one exterior angle per vertex.
<h3>
<u>The value of the number is equal to 11.</u></h3>
2x - 9 = 13
<em><u>Add 9 to both sides.</u></em>
2x = 22
<em><u>Divide both sides by 2.</u></em>
x = 11
Answer:
D[3, 3], C[1, 4], B[0, 1], A[4, -1]
Step-by-step explanation:
Whenever you are doing a 90° clockwise rotation ABOUT THE ORIGIN, it is in the form of [<em>y</em><em>,</em><em> </em><em>-</em><em>x</em>], meaning you take the <em>y</em><em> </em>and make it your <em>x</em><em>,</em><em> </em>then take your original <em>x</em><em> </em>and put its OPPOSITE.
90° counterclockwise rotation → [<em>-y, x</em>]
90° clockwise rotation → [<em>y, -x</em>]
I hope this helps, and as always, I am joyous to assist anyone at any time.
Answer:
0.9562
Step-by-step explanation:
Binomial probability is mathematically expressed as:
Given that p=0.18, n=5 , is calculated as:
Hence, the probability of no more than 2 successes in 5 trials is 0.9562
Answer:
82+25=107 yan po ang answer
