Circle O is shown. Secants C A and C E intersect at point C outside of the circle to form an angle with measure 36 degrees. Secant C A intersects the circle at point B, and secant C E intersects the circle at point D. Arc B D is 48 degrees. In circle O, what is mArc A E?

Step-by-step explanation:

The external angle <C outside the circle can be expressed in terms of length of arc AE and BD using the formula below.

<C =

Next is to make the length of arc AE the subject of the formula;

<C =

cross multiply

add BD to both sides of the equation

Given

<C = 36°

arc BD = 48°

Substitute the given parameters into the formula;

Hence mArc is 120°

answer: no, but if it does it's a obvious pattern.

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."