Drag each tile to the correct location. Each tile can be used more than once, but not all tiles will be used. Elani signed up for an installment plan with 0% interest to purchase a new couch that costs $770. She creates an equation to model the situation, where x represents the number of months and y represents the balance of the installment account:

y = 770 − 55x.

Determine the missing steps and justifications in the solution.​

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

middle maybe?

step-by-step explanation: