Each morning rin rides 1.5 miles to school and then rides home in the afternoon. later in the evening, she rides to the park and back home. over the 5 school days, she rides a total of 25 miles. which equation can be used to find the distance she rides each evening?
a. 1.5 + x = 25
b. 1.5 + 1.5 + x = 25
c. 5( 1.5 + x ) = 25
d. 5( 1.5 + 1.5 + x ) = 25

The correct equation is (D).

Step-by-step explanation:  Given that Rin 1.5 miles to school every morning and then rides home in the afternoon.

So, the total distance covered by Rin while going to  school and coming back is given by  (1.5 + 1.5) miles.

Also, in the evening, Rin rides to the park and back home.

Let, 'x' miles be the total distance covered by her while going to the park and coming back home every evening.

Therefore, the total distance that she rides everyday will be

Since she rides a total of 25 miles over 5 school days, so the equation that can be used to find the distance she rides each evening is given by

Thus, (D) is the correct option.

tangent

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'.