A two-day moving truck rental from Best Rentals costs $60 and $0.35 per mile driven. A two-day moving truck rental from Easy Movers costs $80 and $0.25 per mile driven. Let m represent the number of miles driven. Which equation can be used to find the number of miles for which the rentals would cost the same amount? 60 + 0.35 m = 80 + 0.25 m
60 m + 0.35 = 80 + 0.25 m
60 + 0.35 m = 80 m + 0.25 m
60 m + 0.35 = 80 m + 0.25

∠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.

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