The ratio of the number of long term parking spaces to the number of short term parking spaces in farmington airport is 5 to 7. the ratio of the number of short term parking spaces to the number of parking spaces in the cell phone parking is 8 to 9. there is the total of 3180 parking spaces at the airport. how many parking spaces in the cell phone parking are there?

1,260

Step-by-step explanation:

Let's name

LT = number of long term parking spaces

ST = number of short term parking spaces

CP = the number of parking spaces in the cell phone parking

We have

LT/ST = 5/7

ST/CP = 8/9  or CP/ST = 9/8

LT + ST + CP = 3180

Dividing the last equation by ST we get

LT/ST + 1 + CP/ST = 3180/ST

replacing  

5/7 + 1 + 9/8 = 3180/ST

Solving for ST we obtain ST = 1,120.

Replacing in the second equation, we get CP/1,120 = 9/8,

hence CP = 1,260

it is b)

hope this : )

step-by-step explanation:

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'.