What is the relationship between the degree measure of the angle formed by the straight edges of a section of a circle graph in the percent of the data that the section represents?

See Below

Step-by-step explanation:

A pie chart is a circle.

There are 360 degrees in a circle.

When you create a "part" of a circle using two straight lines from circumference to the center, it creates a sector of a circle. The angle created is the angle of the sector.

Now, let this angle be "x".

The area of the sector of the circle would be the fractional part (which is x over total, which is 360 degrees) MULTIPLIED by the area of the pie chart (circle).

Thus,

The percent of data that section would represent would be basically:

x/360 th of the total

or,

percent

(0,-3) see attached graph

step-by-step explanation:

a. to solve the system, graph the two equations.

x = y+3 becomes y=x-3 has m=1/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move up 1 unit and 1 unit to the right. plot a point and connect.

y=-4x+3 has m =-4/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move down four units and to the right 1 unit. plot a point and connect.

the solution is the point (x,y) where the two lines intersect. by the graph below it is (0,-3).

b. to solve by substitution, substitute y = -4x-3 into x= y+3

x= (-4x-3) +3

x=-4x

5x=0

x=0

now substitute x = 0 back in to find y.

y= -4(0)-3

y=0-3

y=-3

solution is (0,-3)

c. use elimination by adding the equations together.

x-y=3

4x+y=-3

5x=0

x=0

then substitute into one equation to find y.

y=-4(0)-3

y=-3

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