The residents of three towns were polled to find the percentage of residents who take a vacation in the summer or in the winter. A 4-column table with 4 rows. The first column has no label with entries town 1, town 2, town 3, total. The second column is labeled summer with entries 567, 345, 143, 1,055. The third column is labeled winter with entries 87, 102, 158, 347. The fourth column is labeled total with entries 654, 447, 301, 1,402. Which is the joint relative frequency of those in Town 2 who take a summer vacation? Round the answer to the nearest percent. 7% 10% 25% 75%

Republican residents of County 1:  

10.1 %  

Democratic residents of County 1:  

16.5 %

Total Republican residents:  

58.9 %

Total Democratic residents:  

41.1 %

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.

sine

step-by-step explanation: