This year, a small business had a total revenue of $89,700. If this is 38% more than their total revenue the previous year, what was their total revenue the previous year?

The business' total revenue last year was $65,000.

Step-by-step explanation:

So, if you need to find the previous year's total revenue, you would set up an equation like this:

    x + 0.38x = 89,700

I think it would work out something like this:

    x + 0.38x = 89,700

    1.38x = 89,700

    x = 65,000

To check, we would substitute 65,000 into the equation x + 0.38x = 89,700.

    x + 0.38x = 89,700

    (65,000) + 0.38(65,000) = 89,700

    65,000 + 24,700 = 89,700

    89,700 = 89,700

∠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.

"image"

step-by-step explanation:

in most of these problems, the notation is that the point with a "prime" is the image of the point without. that is, b' is the image of b.

here, there is no dilation or reflection. there is simply translation (with no direction shown). which figure you call the "preimage" and which one you call the "image" is up to you. as a matter of convention, the naming is as described above.