Laura will have seven test scores at the end of the semester. Each of the scores is a positive integer less than or equal to $100$. Her first five scores are $80, 83, 87, 94$ and $96$. How many different values are possible for the median of her seven scores?

2 different scores

Step-by-step explanation:

The first thing we must do is define what the average is, which would be the value of half. This means that the average of 7 scores would be adding 2 more scores than the 5 we already have.

It does not matter if they are greater or less than those that already exist, they should only be equal to or less than 100 (also integers) and therefore the mean would be the 4th value of those 7 scores after organizing them from highest to lowest.

11.2

step-by-step explanation:

when doing tangent the tangent of the angle is equal to the opposite side from the angle over the adjacent side to the angle.

tan43 = x / 12

move 12 over by multiplying each side by 12

12tan43 = x

x = about 11.2