ayden has 5.5 gallons of gasoline in his suv’s fuel tank before it starts refilling. the capacity of the fuel tank in aydens suv is 21 gallons. what is an equation that relates the amount of gasoline ayden purchased, p, in gallons and the amount of gasoline in the fuel tank, A after the purchase? what values of P could be viable solutions?

Step-by-step explanation:

Amount of gasoline in the tank is 5.5 gallons

21 gallons is the capacity of the fuel tank in the car

A is the amount of gasoline in the fuel tank after purchase which will be less than or equal to 21 gallons.

So the equation will be

So, the value of p is in the range of or .

∠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.

2nd one in the first row is correct