Is (1,3) a solution to the equation x+4y=12? How do you know?

(1, 3) is not a solution to the equation x + 4y = 12. We know because substitution reveals that the ordered pair does not satisfy the equation.

x + 4y = 12

1 + 4(3) = 12

13 ≠ 12 <= this statement is not true so (1, 3) is not on the line

(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