On Wednesday at camp, Marie went for a hike at 5:15 A. M. The hike took 2 hours and 15 minutes. As soon as she got back from the hike, Marie played volleyball for 1 hour and 45 minutes. What time did Marie finish playing volleyball?

Marie would finish playing volleyball at 9:15am.

Step-by-step explanation:

If Marie went on a 2 hour and 15 minute hike at 5:15am on Wednesday, then she would finish hiking at 7:30am.

Then, after playing volleyball for an hour and 45 minutes, she would finish playing volleyball at 9:15am.

Here is the work in simpler terms:

5hr 15min + 2hr 15min =

7hr 30min or 7:30am

7hr 30min + 1hr 45min =

8hr + 75min =

9hr 15min or 9:15am.

∠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.

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