Whenever he visits Dayton, Quincy has to drive 12 miles due north from home. Whenever he
visits Belleville, he has to drive 16 miles due east from home. How far apart are Dayton and
Belleville, measured in a straight line?

20 miles

Step-by-step explanation:

Hi, since the situation forms a right triangle (see attachment) we have to apply the Pythagorean Theorem:

x^2 = a^2 + b^2

Where x is the hypotenuse of the triangle (in this case the distance between Dayton and Belleville) and a and b are the other sides.

Replacing with the values given:

x^2 = 16^2 + 12^2

x^2 = 256+144

x^2 = 400

x = √400

x = 20 miles

Feel free to ask for more if needed or if you did not understand something.