Brent has a net spendable income of $1,600 per month. he needs to get a new car to drive to work. what car would best fit his budget? a. age/type of car: 7 years old, 4-door car cost of monthly payments: $70 expected fuel costs per month: $100 average monthly maintenance costs: $200 b. age/type of car: 3 years old, 2-door sports car cost of monthly payments: $200 expected fuel costs per month: $140 average monthly maintenance costs: $30 c. age/type of car: new, 4-door car cost of monthly payments: $350 expected fuel costs per month: $100 average monthly maintenance costs: $20 d. age/type of car: 6 years old, 4-door car cost of monthly payments: $140 expected fuel costs per month: $100 average monthly maintenance costs: $50

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.