In one year, Nestor Ortiz’s wages totaled $29,450. His wife, Maria Gomez had a salary of $31,572 and a bonus of $500. The Gomezes also received $3,472 in interest and dividends. They paid $4,902 into a retirement fund. What was their total adjusted income for that year?

step-by-step explanation:

(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

answer: both chords and diameters have two endpoints on a circle. diameters must intersect the center of a circle.