The midpoint of uv is (5, -11). the coordinates of one endpoint are u(3,5). find the coordinates of endpoint v. how do i use the midpoint formula for this? in advance!

well you have to subtract (5,-11) from (3,5)

which is (2,-16)

24+x=y

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