The measure of the supplement of an angle is 60 degrees less than four times the measure of the complement of the angle. find the measure of the angle

Step-by-step explanation:

angle:: x

complemet: 90-x

supplement: 180-x

Equation:

180-x = 4(90-x)+60

180-x = 360 -4x + 60

3x = 240

x = 80 degrees (the angle)

90-x = 10 degrees (the complement)

180-x = 100 degrees (the supplement)

what?

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."