Explain the attribute that makes a parallelogram a special trapezoid

A parallelogram is a special trapezoid because both pairs of opposite sides are parallel to one another. In a regular trapezoid, only one of these pairs is parallel to one another. Hence, where the parallelogram gets its name from.

Answer

1 number

explanation

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.

(6,0) i hope it makes enough sense