When constructing a regular hexagon inscribed in a circle, what is the measure of an angle formed by any two adjacent vertices of the hexagon and the center of the circle?

Measure of angle is 60°     

Step-by-step explanation:

Given when constructing a regular hexagon inscribed in a circle, we have to measure an angle formed by any two adjacent vertices of the hexagon and the center of the circle.

we have to find the measure of central angle of hexagon

Total measure of angle at centre is 360°

As polygon is given regular hexagon therefore central angle divides into six equal angles.

Hence, measure of an angle formed by any two adjacent vertices of the hexagon and the center of the circle is

- "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."