Job has to pay $9.00 admission for the skating rink and $2 per to rent rollerblades how many hours can he skate for $19

5 hours

Step-by-step explanation:

Here we can create an equation to solve for the number of hours (x) this man can skate for.

Since he has to pay a $9 flat fee, that will be a constant value or our y-intercept in this case.

Our equation will be y = 2x + 9

Since we know his budget is $19, we can set our equation equal to 19, or replace y in this case.

So now we have 19 = 2x +9

Now we need to subtract 9 from both sides to get 10 = 2x

Then we need to divide both sides by 2 to get 5 = x

So this man can skate for 5 hours considering his budget

16

step-by-step explanation:

2 x 40 = 80

80/5

= 16

∠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.