I'll do part (a) to get you started.
The angle 'a' pairs up with the 123 degree angle as a corresponding angle pair. Due to the parallel lines, the corresponding angles are congruent. Therefore a = 123.
We also see that b = 123 as well since a = b (they are vertical angles).
Notice how angle c is adjacent to the 123 degree angle. These two angles form a straight line, so they must add to 180 degrees.
c+123 = 180
c = 180-123
c = 57
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To summarize, we have these three angles
a = 123
b = 123
c = 57
Depends on the speed of the road assuming 65 or faster no they were not speeding. At 60 yes they were but not by much lol
Answer:
58
Step-by-step explanation:
The two angles are equal
Answer:
D. 7/3
Explanation:
Y1 - Y2 / X1 - X2
9 - -5 / 6 - 0
9 + 5 / 6
14 / 6
7/3
Answer:
The mean of X is 122.5 and the standard deviation is 7.9.
Step-by-step explanation:
For each adult, there are only two possible outcomes. Either they believe that the overall state of moral values is poor, or they do not believe this. The probability of an adult believing this is independent of other adults. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
Probability of exactly x sucesses on n repeated trials, with p probability.
The expected value of the binomial distribution is:

The standard deviation of the binomial distribution is:

In this problem, we have that:

So


The mean of X is 122.5 and the standard deviation is 7.9.