3) A tour trolley covers a distance of 8.5 miles in of an hour. a) How many miles per hour does the trolley go? Show all work.
b) How far can the trolley travel in 5.5 hours? Show all work.

a) Ans: 8.5 miles per hour

b) Ans: 46.75 miles

Step-by-step explanation:

a) Speed = Distance/Time

8.5/1h = 8.5 miles per hour

b) Distance = Speed x Time

8.5 miles per hour x 5.5h = 46.75 miles

∠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.