Find the measure of angle b. Note that the measure of angle b is acute. Round to the nearest degree.

60.75

Step-by-step explanation:

sinA    sinB

=

a           b

sin(79)/9 = sinB/8

inverse sin B = 0.87

B = 60.75

-7/8

step-by-step explanation:

instead of subtracting you add the -6/8 and -1/8

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.