AD, BE, and CF are all diameters of the circle. The measure of angle AOB is 40 degrees. The measure of angle DOF is 120 degrees. BOC= ___ degrees.
COD= ___ degrees.

Angle BOC is 80 degrees

Angle COD is 60 degrees

∠ BOC = 80°, ∠ COD = 60°

Step-by-step explanation:

∠ AOC = ∠ DOF = 120° ( vertical angles ), then

∠ BOC = ∠ AOC - ∠ AOB = 120° - 40° = 80°

∠ COD = 180° - ∠ AOC = 180° - 120° = 60°

the right system of equations to describe the situation would

be on the form:

x1 = 8000 + y1*t

and

x2 = 8000 + y2*t

where x1 and x2 represents the total money of imogene and her

friend respectively at the end of t years.

now for the value of amount earned, y1 and y2:

y1=8000*0.08

y2=2000*√(t-2)