A. The water level in a reservoir increased 52 meters. If this was a 23% increase, what was the initial depth? B. The price of a jacket was reduced from $84 to $63. By what percentage was the price of the jacket reduced?

C. After a 25% discount, the price of a T-shirt was $12. What was the price before the discount?

I know the answers(don't now if there right) but i have to figure out how to do them please help.

A-63.96 (52 times 23% or 0.23 )

B- 0.21% (84 minus 63 is 21)

C-48 (12 divided by 25% or 0.25)

∠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.

what's the question?

step-by-step explanation:

there is no question.