The size of angle BAJ in the given regular polygons is 84⁰.
The given parameters;
- regular hexagon = ABCDEF = 6 sides
- regular pentagon = AJFGH = 5 sides
Each interior angles of a regular hexagon is calculated as follows;
Each interior angles of a regular pentagon is calculated as follows;
The size of angle BAJ is calculated as follows;
Thus, the size of angle BAJ in the given regular polygons is 84⁰.
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Under a normal distribution curve, if 70% of the people fall to the right of the observation point, then 30% of the people would fall to the left of the observation point. Note, the observation point is the number we are looking for in this instance(how long it takes to find a parking space).
We'll need to use a z table and the formula for a z score to find what we are looking for. First, convert 30% to 0.30 and refer to a standard z table that represents the area under a normal curve to the left of specific z scores. We'll need to look in the body of the table and find the closest decimal value compared to our 0.30. Once you find this decimal number, reference the row and column values to obtain the z score. Looks like this will be -0.53.
Now we can use the z score formula to find our observation point:
z score = (x - Mean)/standard deviation, where x represents the observation point we're looking for!
Substituting into the formula we have:
Solving this equation for x, we find x = 2.94
This represents our observation point and we can assume that 70% of people take more than 2.94 minutes to find a parking space.
The revenue would be 2,348.65$ and the profit would be 153.65$.
Answer:
E) 45
Step-by-step explanation:
Since b is 90 degrees, and lines CB and BA are equal (as seeen with the 2 lines across them) we can assume that this angle is 45 degrees, half or 90 degrees.
Angle C is also equal to angle A
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