SOMEONE PLEASE HELP ME ON THIS. THANKS! : Mr. Romero wants to purchase a gym membership from 24 hour fitness. A gym membership at 24 hour fitness costs $34.99 per month with a one-time initiation fee of $99. Create an
equation to represent the amount of money, y, he will spend on the gym membership for x
amount of months

99 + 34.99x = y

Step-by-step explanation:

initial fee of $99

multiply the monthly fee (34.99) and how many months he's a member (x)

add the initial fee and total of monthly payments to get total he will spend (y)

∠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.