20/23 A class of 30 drama students goes on a field trip to see a play. Each student pays for his or her
play ticket and $9.50 for lunch. The total cost for the play tickets and lunch is $577.50. Which
equation can be used to find the cost of a play ticket for one student?
*30C + 285.00 = 577.50
30c - 285.00 = 577.50
9.50c - 30 = 577.50
9.50c + 30 = 577.50

step-by-step explanation:

idk this answer sorry cant on this one.

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.