Hanna arranged financing for her bachelor’s degree. She borrowed $5,000 as a student loan backed by the federal government, and she also received a grant of $3,000 for books and supplies. Hanna is also in the top 3% of her high school class and was awarded a $15,000 scholarship for her academic achievements. Lastly, Hanna took out a private loan for $6,000. Not counting any interest Hanna may have to pay, how much of her financing is she required to pay back?

answ9x x 3=

step-by-step explanation:

i got 10.28 but that rounds up to 10.3

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

step-by-step explanation: