I've gotta find the value of the variable if m<1=2x+44 and m<5=5x+38​

Line a is parallel to line b:

m∠1=m∠ 5, because they are correspondent angles, then:

2x+44=5x+38

Solving for x:

2x+44-2x-38=5x+38-2x-38

6=3x

3x=6

Dividing both sides of the equation by 3

3x/3=6/3

x=2

- "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."

b because it contains 40% of the possible results from the random list.  

0,1,2,3 v 4,5,6,7,8,9  

4 integers to 6 integers  

40% success vs 60% fail

step-by-step explanation: