Carla, Ethan, Frank and Mary live on the same straight road. The distance between Carla's house and Mary's house is 470 yards. Ethan's house is in between Carla's house and Mary's house. The distance between Ethan's house and Mary's house is 350 yards. Frank's house is in between Ethan's house and Mary's house. The distance between Carla's house and Franks house is 270 yards. What is the difference between Ethan's house and Frank's house? State your answer in yards and explain your work.

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.

17

step-by-step explanation:

51/3=17

thus 17 is your answer.

df =

both have same length