The table shows the cost of buying x tickets to a school play. Buying Tickets Number of Tickets, x 2 5 10 13 Cost, y $8.50 $21.25 $42.50 $55.25 If the data are graphed on a coordinate grid, what is the y-intercept of the line that passes through thes points?

y-intercept is zero

Step-by-step explanation:

The general equation of the line passing through the points is

y = mx + b

where m is the slope and b is the y-intercept

We can pick any two points to get the slope of the line;

m = (55.25-8.5)/(13-2) = 46.75/11 = 4.25

So partially , the equation will be;

y = 4.25x + b

To get b , substitute any point and use its x and y values

We have (2,8.5)

8.5 = 4.25(2) + b

b = 8.5-8.5

b = 0

(2x + 16) + (x) = 180

step-by-step explanation:

given,

abcd is a quadrilateral inscribed in a circle

angle a is labeled x plus 16, (x + 16)

angle b is labeled x degrees, (x)

angle c is labeled 6x minus 4, (6x – 4)

angle d is labeled 2x plus 16, (2x + 16)

what equation can be used to solve for angle b?

we know that the sum of the opposite angles of a simple quadrilateral inscribed in a circle is 180 degrees.

angle b is opposite angle d

therefore, angle b + angle d = 180

(x) + (2x + 16) = 180 

same as (2x + 16) + (x) = 180

8

step-by-step explanation: