In the figure, line L1 is parallel to line L2. If the measure of ∠4 = 144°, what is the measure of ∠6 and why? A. 144°, vertical
angles have the same measure B. 144°, corresponding angles have the same measure C. 36°, same side interior angles are supplementary D. 36°, alternate exterior angles are supplementary
2 answers:
Answer:
The measure of ∠6 is 36°
Option C is correct
Step-by-step explanation:
we have to find the measure of ∠6
Since ∠4 and ∠6 angles formed on the same side interior angles and the same-side interior angles that are formed are supplementary, or add up to 180 degrees.
∴ ∠4+∠6=180°
144°+∠6=180°
∠6=180-144=36°
Hence, the measure of ∠6 is 36°
Therefore option C is correct.
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Answer:
19.51% probability that none of them voted in the last election
Step-by-step explanation:
For each American, there are only two possible outcomes. Either they voted in the previous national election, or they did not. The probability of an American voting in the previous election is independent of other Americans. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which is the number of different combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
42% of Americans voted in the previous national election.
This means that
Three Americans are randomly selected
This means that
What is the probability that none of them voted in the last election
This is P(X = 0).
19.51% probability that none of them voted in the last election