Part A: Consider the distance from the school to the coffee shop and the distance from the library to the coffee shop. Draw their respective line segments in the above graph. If the school is relocated in a way that it
is collinear to the coffee shop and the library and distance to the coffee shop is preserved, then the
point representing the school will partition the line segment from the coffee shop to the library in a x: y
ratio. What are the values of x and y

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Step-by-step explanation:

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Note. Will mainly refer to y-coordinates in distance questionsPart ADistance from coffee shop to library: 16 -8 = 8Distance from coffee shop to school: 16 - 10 = 6 = xDistance from school to library: 10 - 8 = 2 = yRatio x:y = 6: 2 = 3:1Part BDistance from Sergio's home to Saskia's home: 19 -3 = 16Distance from Sergio's home to Post office: 16*1/4 = 4Coordinates of post office: x = 16+4/4= 17, y = 19-16/4= 15Part CDistance from Kay's home to twin theater: 20 - 4 = 16Distance from twin theater to market: 16*3/4 = 12Coordinates of market: x = 5+4/4= 6, y = 4 + 16/4= 8