Rachell buys a drink. She spends the same amount of money on her drink as Chuck spent on his candy, $1.20. Rachelle now has only 1/3 of the amount of money that she had before she brought the drink. How much money did Rachelle have before she bought the drink?

Rachell had $1.80 before she bought the drink

Step-by-step explanation:

Rachell initially had $x.

She spent $1.20 on the drink, so now she has x - 1.20.

This is 1/3 of the original amount(x). So

Rachell had $1.80 before she bought the drink

∠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.