Answer:
x=26
Step-by-step explanation:
by definition of alternate exterior angle rule 8x -71 = 5x +7
What you want to do is get your X's on one side I recommend subtracting 5x so that you don't have to deal with negative values.
8x-5x-71=5x-5x+7
3x-71=7
add 71 to both sides the goal now is trying to get by itself
3x-71+71=7+71
3x=78
now divide both sides by 3
3x/3=78/3
x=26
Y = - 2x + 4
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Answer:



Step-by-step explanation:
We know that:
Only employees are hired during the first 3 days of the week with equal probability.
2 employees are selected at random.
So:
A. The probability that an employee has been hired on a Monday is:
.
If we call P(A) the probability that 2 employees have been hired on a Monday, then:

B. We now look for the probability that two selected employees have been hired on the same day of the week.
The probability that both are hired on a Monday, for example, we know is
. We also know that the probability of being hired on a Monday is equal to the probability of being hired on a Tuesday or on a Wednesday. But if both were hired on the same day, then it could be a Monday, a Tuesday or a Wednesday.
So
.
C. If the probability that two people have been hired on a specific day of the week is
, then the probability that 7 people have been hired on the same day is:

D. The probability is
. This number is quite close to zero. Therefore it is an unlikely bastate event.