Answer:
Step-by-step explanation:
You are ending by proving and are supplementary, so right before that, you need to prove their measures add to 180 degrees.
If two adjacent angles have their exterior sides in perpendicular lines, then the two angles are also perpendicular.
Both exterior and interior angles sum up from 90 - 180 degrees. Therefore, if an exterior angle is perpendicular, then the interior angle must also be perpendicular in order for them to sum up to that amount of degrees (90 - 180).
Answer:
<em>P= 0.0606 = 60.6%</em>
Step-by-step explanation:
<u>Binomial Distribution
</u>
The required probability will be calculated by using the Binomial Distribution with n=385 independent events each with a probability of success equal to p=0.0362 with k=8 or fewer successes.
The PMF (Probability Mass Function) for the Binomial Distribution is
Where
We need to compute a range of probabilities from k=8 to k=0. We'll show how to compute for k=8
When the probability is cumulative and a high number of calculations need to be performed, we use automated tools (like Excel, digital calculator, etc) to compute the sum. We used Excel's BINOMDIST(8, 385, 0.0362, 1) function to get the total probability to get
Answer:
22.5°
Step-by-step explanation:
First we need to figure out the size of the interior angles on the inside.
The formula of figuring out the total degrees of all the interior angles of any shape is (n-2)×180°.
N is the number of sides.
If we substitute our number of sides (8) we get this:
(8-2)×180°
6×180° = 1080°
Then we divide 1080 by 8 since this is a regular octagon (all angles are equal in a regular shape).
1080° ÷ 8 = 135°
Focusing on the triangle now, we now know that the angle on the tip of the triangle is 135° as it has not been split by the line.
Using the rule of angles in a triangle add up to 180°. We do this sum:
180° - 135° = 45°
There are 2 angles left in the triangle so we do:
45° ÷ 2 = 22.5°
Therefore the angle of x is 22.5°.