Serena works at a sports complex that is laid out on a grid and each unit represents one foot. Serena was setting up for a soccer game and set up the corner flags on the corners of the soccer field at (50, 75), (50, 400), (260, 400) and (260, 75). She had to line between each of the corner flags with paint to create the edges of the field. Each can of paint can line 150 feet and costs $2.50. If she can only buy whole cans of paint how much will it cost her to line the field?

answer: it's a

step-by-step explanation:

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4

3

step-by-step explanation:

because where the point where the 2 lines intersect is (3,-1) the x value is 3

you can use a^2+ b^2=c^2