Using the diagram below, describe the relationship as parallel, intersecting, or skew. a) AB and BC
b) AE and BF
c) EF and AD
d) Plane ABC and plane ABF
e) Plane AED and plane BFC

Step-by-step explanation:

a). AB and BC → Both the segments are perpendicular so intersecting at the point B.

b). AE and BF → Both the segments are parallel

c). EF and ED → skew (Since both the segments are neither parallel nor they intersect each other)

d). Plane ABC and plane ABF → Both the planes intersect at AB

e). Plane AED and plane BFC → Both the planes are parallel

step-by-step explanation:

- "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."