We have:
Alternate angles are equal in measure, therefore:
Then, The angles E, JEA and 32° add up to 180° because they form a straight angle. So:
Answer: 43°
4.5 is the answer for you problem
Jordan should press the on button. And then proceed to press the number 7 key.
Answer:
b. exactly one solution
Step-by-step explanation:
-5(z+1)=-2z+10
(first, distribute the 5 into the parenthesis)
-5z-5=-2z+10
(next, move the variables to the left and constants to the right)
-5z+2z=10+5
(combine like terms)
-3z=15
(isolate to variable to find the solution)
z=-5
i hope this helps :)
The probability of event A and B to both occur is denoted as P(A ∩ B) = P(A) P(B|A). It is the probability that Event A occurs times the probability that Event B occurs, given that Event A has occurred.
So, to find the probability that you will be assigned a poem by Shakespeare and by Tennyson, let Event A = the event that a Shakespeare poem will be assigned to you; and let Event B = the event that the second poem that will be assigned to you will be by Tennyson.
At first, there are a total of 13 poems that would be randomly assigned in your class. There are 4 poems by Shakespeare, thus P(A) is 4/13.
After the first selection, there would be 13 poems left. Therefore, P(B|A) = 2/12
Based on the rule of multiplication,
P(A ∩ B) = P(A) P(B|A)P(A ∩ B) = 4/13 * 2/12
P(A ∩ B) = 8/156
P(A ∩ B) = 2/39
The probability that you will be assigned a poem by Shakespeare, then a poem by Tennyson is 2/39 or 5.13%.
