Your school rent a dunking booth for a carnival the company charges $55 to rent the booth plus $20 for each hour of rental. a. Write an expression for the cost of renting the dunking booth for h hours. b. Use your expression to find the cost of 6 hours.

a. $55 + $20h

b. $175

Step-by-step explanation:

From the question, we are informed that a school rent a dunking booth for a carnival and that the company charges $55 to rent the booth plus $20 for each hour of rental.

a. Write an expression for the cost of renting the dunking booth for h hours.

This will be:

= $55 + $20h

b. Use your expression to find the cost of 6 hours.

The equation to solve this will be:

= $55 + $20h

= $55 + $20(6)

= $55 + $120

= $175

∠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.