Each crate holds 25 reusable water bottles. Each crate costs $45. How much should the track team charge for each water bottle to make a profit of exactly $180 per crate.

$ 9 each bottle

Step-by-step explanation:

1 crate  = $45

1 crate  = 25 bottles

if we want to earn $180 per crate , we have to add this value to the $45

45 + 180 = 225

if the value of the box to win $180 is $225, we have to divide the new value by 25 (number of bottles) and we will have what we will have to charge each bottle

225/25 = 9

we have to charge $ 9 each bottle to earn $ 180 per crate

step-by-step explan mxfcg'k; uafwgzfgjhklhgation:

∠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.