Construction workers use ratios regularly to make quick calculations. On a particular roof the ratio, called the pitch, is 512. That means that for every 5 inches the roof goes up, it goes over 12 inches. How wide is a roof that goes up 80 inches?

192 inches wide

Step-by-step explanation:

5 inches up = 12 inches over

80 inches up = x inches over?

from the information given we can find the quotient of the ratio 80/5.

80/5 = 16

now that we know the quotient of the ratio is 16 we can solve the equation x/12 = 16 by multiplying both sides of the equation by 12 to get x = 192.

x/12 = 16 --> 16*12 = x --> 16*12 = 192

double check by making sure the ratios add up and you get the same

192/16 = 12

80/16 = 5

ca = ec

cpctc makes it so that corresponding parts of the triangle you proved to be equal are equal, the other options aren't part of the part of the triangles you proved to be equal.