Answer:
Angle A is 101
Angle B is 79
Angle C is 83
Angle D is 97
Step-by-step explanation:
Vertical angles are congruent, which applies to C.
Lines are parallel so 79 and angle B are the same
Angle a is 101 because its a supplementary angle
Angle D is 97 because its also a supplementary angle so you subtract 83 from 180.
Answer:
Step-by-step explanation:
12.66-n=7.64
12.66-7.64=n
5.02=n
To find how many bags the store needs to sell, you have to divide 5225 by 5.50.
Answer:
The probability that a book picked at random is either a work written by an author who writes only nonfiction or a work written by a man is 75.8%.
Step-by-step explanation:
The probability, in this case, has to be calculated using the sum rule because the events are independent.
P = P(men) + P(non-fiction) - P(men non-fiction); where P is the probability. It means the probability that the random book was written by a man plus the probability that the random book was non-fiction minus the probability that the random book was written by a man who writes non-fiction. The probability that the random book was written by a man who writes non-fiction has to be subtracted, if not you will be duplicating it.
Facts:
P(men) = 60% = 99/165
P(non-fiction) = 40% = 66/165
P(men non-fiction) = 40/165
P = P(men) + P(non-fiction) – P(men non-fiction)
P = 99/165 + 66/165 – 40/165
P = 125/165
P = 0.758 or 75.8%