What is the measure of angle d? explain how you knew using angle relationships from the diagram (such as "this angle was corresponding/vertical/alternate interior or exterior/supplementary/complementar y so i knew that the measurement was because ") answer blank and question correctly

d = 122°

Step-by-step explanation:

∠d and 58° are a straight angle and supplementary

∠d = 180° - 58° = 122°

OR

∠a = 58° ( alternate angles )

∠a and ∠d are same side interior angles and supplementary

hence ∠d = 180° - 58° = 122°

45.36 feet per second

step-by-step explanation:

tyrone travels 30 miles in 58.2 minutes.  

1 mile = 5280 feet; this means he travels

30(5280) = 158400 feet in 58.2 minutes.

1 minute = 60 seconds; this means he travels 158400 feet in

58.2(60) = 3492 seconds.

this gives us the unit rate of

158400/3492 = 45.36 feet per second.

arc length = radius * x ( in radians)

6 * pi = 18 * x

divide by 18 on each side

6 pi / 18 = x

pi/3 = x

the angle is pi / 3 radians

or   60 degrees