National public opinion polls are often based on as few as 1,500 persons in a random sampling of public sentiment on issues of public interest. these surveys are often done in person because the response rate for a mailed survey is very low and telephone interviews tend to reach a larger proportion of older persons than would be represented in the public as a whole. suppose a random sample of 1,500 registered voters was surveyed about energy issues. a. if 230 of the 1,500 responded that they would favor drilling for oil in national parks, estimate the proportion p of registered voters who would favor drilling for oil in national parks. use a 95% confidence interval. b. how many persons must the survey include to have 95% confidence that the sample proportion is within .01 of p? c. a congressman has claimed that over half of all registered voters would support drilling in national parks. use the survey data to evaluate the congressman’s claim. use a  .05.

the answer is mc^1-1jpeg

1,150 give brainliest

step-by-step explanation

2r= 2300

r =1150

c

step-by-step explanation:

∠1≅∠2 by the alternate exterior angles theorem.

step-by-step explanation:

given, a ∥ b and ∠1 ≅ ∠3 .we have to prove that e ∥ f

we know that ∠1≅∠3 and that a || b because they are given. we see that by the alternate exterior angles theorem. therefore, ∠2≅∠3 by the transitive property. so, we can conclude that e || f by the converse alternate exterior angles theorem.

we have to fill the missing statement.

transitivity property states that if a = b and b = c, then a = c.

now, given ∠1≅∠3 and by transitivity property ∠2≅∠3 .

hence, to apply transitivity property one angle must be common which is not in result after applying this property which is ∠1.

the only options in which ∠1 is present are ∠1 and ∠2, ∠1 and ∠4

∠1 and ∠4 is not possible ∵ after applying transitivity we didn't get ∠4.

hence, the missing statement is ∠1≅∠2.

so, ∠1≅∠2 by the alternate exterior angles theorem.