On a treasure map with coordinates, James is standing on the point (-9, -1). He knows that a treasure chest is located 10 units away from where he is standing and that the coordinates of the treasure chest are such that the x-coordinate is six less than the y-coordinate. Determine and state the possible location(s) of the treasure chest.

answer: 414,377,008

step-by-step explanation:

just multiply it

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

answer: it depends on what the tax percentage