What is the measure of angle x?

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the measure of angle x is 48

x = 48°

Step-by-step explanation:

As we can see:

42° + 90° + x = 180°

x = 90° - 42°

x = 48°

The straight line is 180 degrees. So we just need to put the sum equal to that, and solve the equation

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.