A grocer bought 15 dozen oranges at $1.00 a dozen. She threw away 20 rotten oranges, and then sold the rest at 8 oranges for 85 cents. How much profit did the grocer make, in dollars and cents?

$2.00

Step-by-step explanation:

The grocer bought the oranges for $15.00

15x12= 180 To find the number of oranges he bought

180-20=160 To find the rest of the remaining oranges

160/8= 20 To find how many packs he has

20x.85= 17 To find how much he made from selling the remaining oranges

17-15=2 To find the profit

∠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.

yes

step-by-step explanation:

yes