Fiona's school is in the shape of a triangle, with three hallways connecting the corners. Fiona enters the building and walks 90 yards through the first hallway to the first corner. Then, she walks 60 yards through the second hallway to the second corner.

A triangle is shown. The side lengths are 60 yards, 90 yards, and question mark. The top point is labeled exit and the bottom right point is labeled entrance. The distance between exit and entrance is question mark.

What are the possible lengths of the third hallway?

1 number

if we use a graphing calculator, there is only one such number that satisfies the conclusion of the mean value theorem, that is, a number such that

where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.

in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.

b. 153 students do not participate in sports and seventy-five 12th graders were surveyed

m

step-by-step explanation: