evie and elliette are selling cups of lemonade for $0.75 each. if the amount of money they make, m, selling c-cups of lemonade is modeled using a function, then explain why 2 will not be part of this functions range

Answer in explanation

Step-by-step explanation:

if the price per cup is $0.75, then the amount of money made from selling c cups will be;

m = $0.75c

the reason why 2 will not be part of this functions range is because, 2 is not exactly divisible by 0.75

What this means is that 2/0.75 will not give a whole number

And since the number of cups sold is a while number, no fractional sales, then y will not have a value of $2

right

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.