Easy ! a rental company rents a luxury car at a daily rate of $37.68 plus $.25 per mile. vanessa is allotted $120 for car rental each day. write an equation to represent the cost c of renting a car and driving x miles. how many miles can vanessa travel on the $120?

0.25x + 37.68 = C

[The company charges $0.25 per mile (x) plus $37.68, and C is the total amount of money/cost]

Vanessa has $120 [total amount of money she is given per day],

Since this is the total amount of money she has/can pay with, you can plug in 120 for C

0.25x + 37.68 = 120     Subtract 37.68 on both sides

0.25x = 82.32        Divide 0.25 on both sides

x = 329.28

Vanessa can travel 329.28 miles on the $120

plz yuo

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.