I REALLY NEED HELP!! PLEASE HELP ME!

x^2 - 3x - 40 = 114.

Step-by-step explanation:

They offered x styles and x colours last year.

After increasing by 5 and decreasing by 8 they offered

(x + 5)(x - 8) and this equals 114.

So (x + 5)(x - 8) = 114

x^2 - 3x - 40 = 114.

This works out to 14 styles.

We can check the result  as follows

Last year the number of combinations of color and style was 14*14 = 196.

This year it is 14+ 5 = 19 styles and 14 - 8 = 6 colors.

This comes to 19 * 6 = 114.

parallel and congruent

step-by-step explanation:

the movement of translation is linear.   these have the same translation because you are using the same rule for each point of the triangle so you will see the same slope being used to get from a point on the triangle to its image.

same slope!   you should think parallel when you see those 2 word together (well unless it's the same line but it can't be because we are coming from different points here)

congruent! because each point is being moved the same distance.