A machine can produce 14 inches of ribbon every 2 minutes. How many feet of ribbon can the machine make in one hour? Complete the explanation to justify your answer.

35 feet of ribbon.

Step-by-step explanation:

The rate of 14 inches per every 2 minutes would equal 30 two-minute intervals as 60 minutes (an hour)/2 minutes = 30. 14 x 30 = 420 inches in one hour, which reduces to 35 feet since 420inches/12 inches (one foot) = 35.

c.   x=2.4cm

step-by-step explanation:

similar triangles are triangles which have the same shape but not the same size. this means their angle measures are equal but their side lengths are not instead they are proportional. to solve, we will set up a proportion and solve.

a proportion is two equal ratios set equal to each other. we form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

.

to solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.