Atown's population is 43,425 about 125 move out of the town each month 200 people on average move into town a nearby town has a population of 45k it has no one moving in and an average of 150 ppl moving away every month in about how many months will the population of the town's be equal write an equation that represents the situation and solve

Let us suppose after x months the population of both town's will be equal.

From the given directions, we have

The population of the first town after x months is given by

The population of the second town after x months is  given by

In order to the population of the both town's to be equal, we have

This is the required equation that represents the given situation.

Now, let us solve the equation

Therefore, after 7 months the population of both town's will be equal.

rounding to the nearest thousandth would be 452,000

∠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.