Answer:
B
Step-by-step explanation:
Two events A and B are called independent, when
where 
is the probability that B occurs given that A has already occurred.
A = randomly selected person is a student
B = randomly selected person prefer "Vikings"
B|A = randomly selected student prefer "Vikings"
Probabilities:
Since
we can state that events are not independent.
The two consecutive integers can be represented by x and x+1.
x+(x+1)=71
Combine like terms
2x+1=71
Subtract 1 from both sides
2x=70
Divide both sides by 2
x=35
Final answer: 35, 36
Answer:
45
Step-by-step explanation:
Triangles equal up to 180 degrees therefore you do the following to solve this equation. So you have 80 and 55. So you add 80 to 55 and you get 135. Now you subtract 180 by 135 and that equals 45. So x=45. I will write it out as well.
55+80=135
180-135=45
x=45
To check.
80+55+45=180
Answer:
D
Step-by-step explanation:
They are clearly not the same line since they don't have the same slope. Because they don't have the same slope, they're not parallel either. In order to be perpendicular, the product of the slopes of both lines must be -1. Since 3/4 * 4/3 ≠ -1, they are not perpendicular, leaving us with option D as the answer.
