I need to know how to solve this problem, you don't necessarily have to answer it, i just don't know the name and the steps to solving it because I missed out on a class that explained it, so I'm in the dark

f(-3) = -16

Step-by-step explanation:

Given piecewise function is,

f(x) = 5x - 1       If x < -2

        x + 3       If x ≥ -2

We have to find the value of he function when x = -3

Since x = -3 is less than x = -2,

Piece of the function to be considered,

f(x) = 5x - 1

f(-3) = 5(-3) - 1

f(-3) = -16

answer: 590

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.