Hakim is a kickboxing instructor who will be teaching classes at a local gym. To get certified as an instructor, he spent a total of $90. Hakim will be earning a base salary of $70 per month from the gym, plus an additional $5 for every class he teaches. If Hakim teaches a certain number of classes during his first month as an instructor, he will earn back the amount he spent on certification. How many classes will that take?

4 classes

Step-by-step explanation:

So to solve this problem, you can make an equation. Since he makes $70 per month and $5 per class, and you're trying to figure out how many classes he has to take to get $90, you have the equation 70 + 5x = 90.

Then, you solve:

subtract 70 from both sides

divide both sides by 5

So you get that he has to take 4 classes.

/

step-by-step explanation:

b) k’(6, 4); l’(3, 3)

step-by-step explanation:

a 270° clockwise rotation maps every point (x, y) to (y, -x). (it negates the x-coordinate and then switches it and the y-coordinate.)

this means the endpoints of the side congruent to kl, k' and l', would be mapped as:

k'(-4, 6)→(6, 4)

l'(-3, 3)→(3, 3)