Haley pays a monthly fee of $20 for her cell phone and then pays 5 cents per minute used. the cost of haley's cell phone bill can be expressed by the function c(m) = 0.05m+20, where m is the number of minutes used. what are the domain and range of the function c(m)?

  domain: 0 ≤ m ≤ 44,640

  range: 20 ≤ C ≤ 2252

Step-by-step explanation:

Haley cannot possibly use her phone more than 24 hours a day for 31 days in a month, so the number of minutes in a month puts a limit on the domain of the function.

The upper end of the range is correspondingly limited.

The number of minutes cannot be negative, and C will have a minimum value of 20.

∠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.