Johnny rode his bike 4/7 of a mile from his house to the lake on a straight path. then, he turned around and rode his bike 3 1/8 miles in the opposite direction. about how far is johnny from his house? a. 1 1/2 miles b. 2 miles c. 2 1/2 miles d. 3 miles

(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