Mandy has just purchased a bag of marbles. A new bag of marbles contains an average of 31 regular marbles and 2 large-sized novelty marbles. The number of regular marbles in a new bag can vary by as many as four marbles, but there are always 2 large-sized novelty marbles in each bag. Which equation can be used to determine the maximum and minimum number of regular marbles that Mandy could have in her new bag of marbles?

(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

i believe that the answer is

b. y-1=-2(x-4)

hope this !

x = 3 ± √(5+y)