The transportation department of a large city wants to estimate the proportion of residents who would use a system of aerial gondolas to commute to work. the gondolas would be part of the city’s effort to relieve traffic congestion. the department asked a random sample of residents whether they would use the gondolas. the residents could respond with yes, no, or maybe. which of the following is the best description of the method for data collection used by the department? (a) a census (b) a sample survey (c) an experiment with a completely randomized design (d) an experiment with a randomized block design (e) an experiment with a matched-pairs design

∠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.

if i put something wrong your not gonna like it so rather not say nothing.

-4, -2, 1, 4

step-by-step explanation:

domain = x values

range = y values

110698.56 square miles

step-by-step explanation:

multiply 3.8 by 102

387.6

multiply 2.8 by 102

285.6

multiply those two to get