Acity grid of anytown, usa is shown on the grid below. the fire department is represented by quadrilateral rstu. another fire department is opening in a different part of the city to maximize fire protection. the size of the new department's property must be congruent to the older department. vertices a and b are plotted on the grid below to represent two vertices of the new fire department quadrilateral abcd: map of anytown. the line y equals 7 is main road. the line y equals 3 is rose lane. the line y equals negative 1 is crystal ave what could be the ordered pairs representing vertices c and d of quadrilateral abcd so that the new fire department is congruent to the old fire department? a. c(1, −3), d(4, −3) b. c(1, −2), d(4, −2) c. c(1, −4), d(4, −4) d. c(1, −5), d(4, −5)

y < -3

step-by-step explanation:

-3y - 2 > 7

-3y -2 + 2 > 7+2

-3y > 9

-3y/-3 < 9/-3   (change the inequality sign when multiplying or dividing by a negative number)

y < -3

for the friend request.

when a figure, such as triangle (xyz) is reflected over the line y = x to create x'y'z' the x-coordinates and y-coordinates of the original image (pre-image) will be reversed for the image. (e.g., (x, y) > (y, x)) this means that the pre-image position of the x- and y-coordinates switch places which in turn provides a mirror like image of the original xyz.  

i notice that when i draw a line segment from x to x', that the points are parallel from each other -- they are exactly across from each other and do not intersect with any other points.  

yes, think i would see the same characteristic if you drew the line segment connecting y with the reflecting line and then y' with the reflecting line because of the essence of reflections. because it is a mirror image, each point was effected the same way which leads me to conclude that they same would apply to y and y'.

the data of the detroit pistons in numerical order from least to greatest is 0.30, 0.37, 0.55, 0.62, 0.69, 0.72, 0.73, 0.75, 0.77, 0.78, 0.80, 0.81, 0.81, 0.83, 0.84, 0.89

the data of the miami heat in numerical order from least to greatest is 0.50, 0.50, 0.56, 0.57, 0.67, 0.72, 0.72, 0.72, 0.75, 0.75, 0.76, 0.81, 0.82, 0.90, 1.00, 1.00

the detroit pistons median : 1.52

the miami heat median: 1.47

the iqr of this data is 0.05

x = 3 ± √(5+y)