In the figure below, AD and BE are diameters of circle P. What is the arc measure of CAD in degrees?

the arc measure of CAD in degrees is 296

Step-by-step explanation:

Angle EPA is 90 degrees. Since angle EPA and angle EPD are on a straight line, then

Angle EPD = 18 - 90 = 90 degrees

Angle EPD = 33k - 9

33k - 9 = 90

33k = 90 + 9 = 99

k = 99/33

k = 3

Angle CPD = 20k + 4 = (20 × 3) + 4

Angle CPD = 60 + 4 = 64 degrees

Since the sum of the angles at a point is 360 degrees, it means that

90 + 90 + angle BPC + 64 + 90 = 360

Angle BPC = 360 - 334

Angle BPC = 26 degrees

Therefore, the arc measure of CAD in degrees is

26 + 90 + 90 + 90 = 296 degrees

the expected value of the random variable : 0, 1 and 2

step-by-step explanation:

step-by-step explanation:

we are given a graph for system of inequalities.

in order to write the system of inequalities for the given graph, we need to find the inequality for each of the line separately.

let us find the slope of dotted line first.

taking two coordinates on the graph.

let us say (0,0) and (3,1).

let us find the slope of the line now.

slope of the dotted line would be =.

y-intercept of dotted line is y=0 only.

plugging slope m= and b=0 in slope-intercept form y=mx+b, we get

.

the line is shaded up of that dotted line.

therefore, for shading up we would take greater than inequality symbol > .

and because it's a dotted line we would take only > symbol in place of = sign in above equation of line.

therefore, inequality for dotted line would be

let us take two points (3,1) and (0,4) on the solid line.

slope of the solid line would be =.

for the solid line we have y-intercept b= 4.

plugging slope m= -1 and b=4 in slope-intercept form y=mx+b, we get

y = -1x + 4.

the line is shaded down of that solid line.

therefore, for shading down we would take less than inequality symbol < .

and because it's a solid line we would take ≤ symbol in place of = sign in above equation of line.

therefore, inequality for solid line would be