Lines l and m are parallel because same-side interior angles are supplementary
From the question, we are to determine the lines we can conclude are parallel
From the given information, we have that
m ∠3 + m ∠4 = 180°
That is,
The measure of angle 3 and the measure of angle 4 are supplementary.
In the diagram,
We can observe that ∠3 and ∠4 are same-side interior angles
NOTE: If interior angles on the same side of the transversal sum to 180, then lines are parallel.
Hence,
Due to the fact that same-side interior angles are supplementary, lines l and m are parallel
Learn more on Parallel lines postulates here: brainly.com/question/9602013
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The null hypothesis is rejected because the probability is 0.52.
<h3>What are null hypotheses and alternative hypotheses?</h3>
In null hypotheses, there is no relationship between the two phenomena under the assumption that it is not associated with the group. And in alternative hypotheses, there is a relationship between the two chosen unknowns.
A political pollster claims that 55% of voters prefer candidate A.
To investigate this claim, a random sample of 75 voters is polled.
The pollster finds that 39 of those polled prefer candidate A.
He would like to know if the data provide convincing evidence that the true proportion of all voters who prefer candidate A is less than 55%.
This is left tailed test
H₀: p = 0.55
Hₐ: p < 0.55
Then the probability will be
p = 39 / 75
p = 0.52
P-value = 0.3015
Interpretation of P-value:- In a random sample of 75 voters, the chance of getting a sample statistic of 0.52 or below is 0.3015, assuming that the real population proportion of the voter base who chooses candidate A is 0.55.
More about the null hypotheses and alternative hypotheses link is given below.
brainly.com/question/9504281
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The next 3 terms would be -162, 468, 1457
Answer:boynjm emwffw
Step-by-step explanation:
boybffqq
A .
- If the number after the decimal is 5+ you round up .. if its 4 and below you round down
