Ewan and Karlos play an online game that has a cost per minute as well as an initial set-up fee. So far, Ewan has
played for 510 minutes and was charged a total of $17.80, Karlos has logged an impressive 682 minutes of
playing time and has spent $22.96.

Set-up fee =$2.50

Minute rate=$0.03

Step-by-step explanation:

let x be the set-up fee and y the rate per minute.

-The individuals costs can be expressed as:

We make  subtract Ewan's equation for Karlos:

The rate per minute played is $0.03

=>We substitute the minute rate in Ewan's equation to solve for x:

Hence, the set-up fee is $2.5

∠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.

the rocket cannot penetrate the ground, in a contextual sense, therefore the roots of this equation should be the domain of this function. i'll let you find the roots of this quadratic equation (hint: use the quadratic formula:  

1- c

2-a

step-by-step explanation:

mark brainliest!