2. X 0 4 7 10 13 y -5 -5 -5 -5 -5 Domain: Range: Function?

--- function

Step-by-step explanation:

Given

Solving (a): The domain

The x values represent the domain.

Hence, the domain is:

Solving (b): The range

The y values represent the range

Hence, the range is:

Solving (c): The function

By observation, we can see that for all values of x the value of y remains unchanged (-5)

Hence, the function is:

∠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.

do your own work and don"t cheat.

step-by-step explanation: