Kristin graphed the locations of several places in her school on the coordinate plane shown below. Determine if each statement about Kristin's graph is true or false. True False Art is closer to the library than to science. The cafeteria is located at (-7,9)(−7,9)left parenthesis, minus, 7, comma, 9, right parenthesis.

Step-by-step explanation:

1). Coordinates of Art → (1, -5).

   Coordinates of Library → (1, 9)

   Coordinates of Science → (-5, -5)

   Distance between Art and Library =

                                                             =

                                                             = 14 units

   Distance between Art and Science =

                                                               = 6 units

   Since 14 > 6,

   Art is closer to Science than Library.

   Answer is False.

2). Coordinates of Cafeteria → (-7, 9)

    True.

geometry: triangles

solvers

lessons

answers archive

call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

25.45584