A railroad track follows a straight path from station A to station B. What is the distance travelled by the railroad track from station A to station B before completing its journey until station C? Distance travelled from station A to station C is 2x+3 and from station B to station C is 6x-4

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: $1794

step-by-step explanation:

b.

step-by-step explanation: