The following data represent the ages of award winners for best actor and best actress in a leading role for the 20 years from 1985 to 2004. Answer parts (a) minus −(b) below. Full data set Best Actor Ages Best Actress Ages 47 47 36 36 38 38 37 37 46 46 31 31 50 50 62 62 32 32 43 43 49 49 64 64 70 70 35 35 22 22 30 30 44 44 33 33 42 42 37 37 50 50 49 49 34 34 28 28 23 23 26 26 33 33 36 36 31 31 29 29 29 29 26 26 54 54 51 51 64 64 40 40 51 51 36 36 34 34 42 42 (a) Construct an ordered back to back stem-and-leaf display.

- "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."

step-by-step explanation:

the true ones are a b and d

80° is the measure of gh

step-by-step explanation:

circle f is congruent to circle j

we have two circle with center f and j.

both circles are congruent. the radius of the circle would be equal.

see the attachment for the circle.

we are given ∠efd ≅ ∠gjh

therefore, arc (ed) = arc (gh)     (∴ circle f is congruent to circle j)

but ∠dfe=80°=arc (ed)

therefore, arc (gh) = 80°

thus, 80° is the measure of gh