A Car can Travel 82 miles on 2 gallons of gasoline. How Far can it travel on 9 gallons?​

369 miles

Step-by-step explanation:

82 miles =2 gallons

41 miles = 1 gallon

369 miles = 9 gallons

369 miles

Step-by-step explanation:

Distance travelled in 1 gallon gasoline = 82 miles

So, distance travelled in 1 gallon gasoline

= distance travelled in 2 gallon gasoline/2

= 82 miles/2

= 41 miles

So, distance travelled in 9 gallons gasoline

= distance travelled in 1 gallon gasoline × 9

= 41 miles × 9

= 369 miles

∠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.

12.5 feet

step-by-step explanation: