Quadrilateral abcd is similar to quadrilateral efgh. what is the length of
segment bc?

 The required length of BC is 32 units.

Step-by-step explanation:  Given that the quadrilaterals ABCD and EFGH are similar to each other.

We are to find the length of side BC.

From the figure, we note that

AB = 2x,  CD = 3x - 3, EF = 5.5, FG = 8, GH = 7.5  and  EH = 7.

Since the corresponding sides of similar figures are proportional, so we get

Also, we can write

Thus, the required length of BC is 32 units.

abde or 1,2,4, 5 is the answer

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."