A circle is centered at J(3,3)J(3,3)J, left parenthesis, 3, comma, 3, right parenthesis and has a radius of 121212.
Where does the point F(-6,-5)F(−6,−5)F, left parenthesis, minus, 6, comma, minus, 5, right parenthesis lie?

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

c

step-by-step explanation:

answer: b

step-by-step explanation:

- (2, -7)

- lines r and s and lines t and u must be parallel