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°.
Answer:
2(k^8)
Step-by-step explanation:
Answer:
a) 230300 ways
b) Check Explanation
Step-by-step explanation:
a) This is a combination problem,
We require how many ways 4 factories be placed among 50 states.
Mathematically, that is
⁵⁰C₄ ways = 230300 ways
b) If you have no idea which states will be chosen, what is the probability that all 4 factories will be located in the mid-Atlantic region.
This can be done in two ways
Method 1
The mid Atlantic region is one of 9 geographic divisions in the US
Probability of 1 factory being located in this geographic region = (1/9)
The probability of the 4 factories being in just this region = (probability of locating one factory in this region)⁴ = (1/9)⁴ = 0.0001524
Method 2
The mid Atlantic region contains only 3 out of 50 states. (New York, New Jersey, Pennsylvania)
Probability of 1 factory being located in one of the 3 stares = (3/50)
Probability of locating all four factories in one of the states in this region = (3/50)⁴ = 0.00001296.
Answer:
honestly im trying to figure it out right now will get back to you when i figure it out.
Step-by-step explanation:
Answer: 3x + 5y = 15
Step-by-step explanation: