If mAC 93°, and mBD= 39°, what is m∠BED?

54°
32°
108°
27°

LAST OPTION.

Step-by-step explanation:

For this exercise it is important to remember that, by definition, the angle formed by two secants intersecting outside of a circle, can be found with the following formula:

According to the information provided in the exercise, you know that:

Therefore, you can find the difference of the intercepted arcs:

The final step is to substitute  the difference of the intercepted arcs calculated above, into the formula, in order to find the measure of the angle  BED.

You get that this is:

- "runner b is moving at a slower rate."

- "the graphs shown are graphs of distance(km) against time(min).

the slopes of this graphs are are given by:

slope = (change in y)/(change in x)

= (change in distance)/(change in time)

this is the formula for finding the speed. so, the slope of these graphs represent the speed of the runner.

taking each division in the graph to represent 1 on both axis:

runner a ⇒ speed = (2-0)/(1-0)

= 2/1

= 2 km/min

runner b ⇒ speed = (3-0)/(3-0)

= 3/3

= 1 km/min

this shows that   runner b is moving at a slower rate."