Winnie is buying dog food for her dog. she needs 10 pounds of food each week, but has room to store any extra food that she purchases. the food comes in 4 different sizes as given below: 4.2 pounds for $4.99 8.5 pounds for $9.27 12 pounds for $11.04 20 pounds for $18.99 winnie is trying to be a smart shopper and get the best deal on the dog food. which size bag of dog food should winnie buy?

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.