You work as a dental hygienist, seeing patients for 6 hours each workday. each of your appointments with a patient takes the same amount of time. currently, you see 9 patients per workday. how many more minutes would you be able to spend with each patient if you saw only 8 patients per workday, still seeing patients for 6 hours each workday and spending an equal amount of time with each patient? a. 1 b. 2 c. 3 d. 5 e. 8 1/3

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:

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