Type the correct answer in the box. use numerals instead of words. if necessary, use / for the fraction bar. the regular pentagon abcde rotates counterclockwise about its center to form pentagon a′b′c′d′e′. the angle of rotation at which point a′ coincides with point d is °.

144°

Step-by-step explanation:

It is a regular pentagon which means all five sides are the same length. This also means that the angle between any two adjacent vertices is the same. So to find the angle between two adjacent vertices we take 360° and divide it by 5 which equals 72°. But A and D are not adjacent to each other, they have E in the middle (it also has B and C in the middle on the other side, but that's the bigger angle, and we usually label angles through their smaller angle. ex: a 30° angle is 30° if you look at it on the smaller angle (∠ ← here), but if you look at the bigger side of the angle (here →∠) it is 330°, yet we still call it a 30° angle). So, between A and D are two equal angles A to E, and E to D. So we multiply 72° by 2 which equals 144°.

So the answer is 144°.

The binomial distribution requires a constant and known probability for all trials.
For example, if picking marbles from a bag, the marbles must be returned to the bag to achieve a constant probability (with replacement).
The hypergeometric distribution assumes two different classes of objects, and samples are taken out without replacing back in the "pool" (without replacement).
This is especially useful for small populations without replacement, or events having very small probability.