: 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 the
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?

x = 7 and y = 1

Step-by-step explanation:

Coordinates of Coffee shop = (12, 16)

Coordinates of Library = (16, 8)

School has been shifted to the new position so that distance of school is preserved from the coffee shop.

Coordinates of the new position of school = (15, 10)

Ratio in which distance between coffee shop and library is divided by the location of school is x : y.

If a segment having extreme ends and is divided into two parts by point (x, y) in the ratio of m : n,

x =

y =

From the points given in the picture,

15 =

15x + 15y = 16x + 8y

15y - 8y = 16x - 15x

7y = x

Therefore, x = 7 and y = 1 will be the answer.

c

step-by-step explanation:

it isn't d, because the interquartile range is from 27-57. and the interquartile range is basically half the data, it's pretty obvious.

it isn't b, because like i said earlier, the interquartile range is from 27-57. 57-27 is 30. the real range has to be longer

not a either. although it looks like it, 3/4 of the data is not greater than 27. but if c is wrong than this should be correct

the correct answer is c, because 13 is the point in which the plot starts

answer: 2x + 2 − 2 = 10 − 2; subtraction property of equality

step-by-step explanation: