Tyra buys 14 gallons of gas for $35. How could she figure out how much 1 gallon of gas cost her? A Write the fraction 14 gallons/$35, and divide the top and bottom by 35. B Write the fraction $35/14 gallons, and divide the top and bottom by 14. C Write the fraction $35/14 gallons, and multiply the top and bottom by 14. D Write the fraction 14 gallons/$35, and subtract 35 from the top and bottom.

Option B is the correct answer.

B Write the fraction $35/14 gallons, and divide the top and bottom by 14

Step-by-step explanation:

We know that the total cost of the gas bought by Tyra is $35. We also know that the total quantity bought is 14 gallons of gas. To calculate the cost of gas per gallon, we will take the total cost as numerator and the total gallons as denominator and simplify the fraction.

Thus,

Cost per gallon = Total cost / Total gallons

Cost per gallon = 35 / 14

Dividing the fraction by 14.

Cost per gallon = 2.5 / 1

Cost per gallon = $2.5 per gallon

∠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.

answer:

what is your question that you ask

step-by-step explanation: