If the Mean Value Theorem is applied to the function f(x) = ln(x − 5) on the interval [6, 10], then what is the number c that must exist in (6, 10)?
A. 8.915
B. 8.911
C. 7.485
D. 8

b

Step-by-step explanation:

50

step-by-step explanation:

second option

step-by-step explanation:

the measures of a triangle equal 180. use that to find x.

2x+3x+4x=180

9x=180

9x/9=180/9

x=20

now you know x, you know angle a is 40°, angle b is 60°, angle c is 80°.

because angle a is 40°, the first option doesn't work.

because angle b is 60°, the second option does work.

when you add angle a and b, you get 100°. complementary means it equals 90°, so the third option doesn't work.

when you add angle a and c, you get 120°, which is not 100.