A visitor is staying in a cottage that is 7 miles west of the closest point on a shoreline to an island. The island is 4 miles due north of the shoreline. The visitor plans to travel from the cottage to the island by running and swimming. If the visitor runs at a rate of 6 mph and swims at a rate of 2 mph, how far should the visitor run to minimize the time it takes to reach the island?

14

step-by-step explanation:

14 x 3 = 42

(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