Amelia made a line plot of her scores on 25-point math quizzes. What is the difference between the total of her most frequent number of points per quiz and the total of her greatest number of points scored per quiz?

(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

if e is the midpoint of bd, then bd is 14.

step-by-step explanation:

the square root of 16 is 4.

4*4 = 16