The remaining expenses Roxy must account for in her personal budget are food, pet expenses, household and personal supplies, and health care. She makes a table to record the estimated amount she spent on each expense for the last six months of the previous year. Select the correct answer from each drop-down menu. Round each figure to the nearest whole dollar.

answer: 88

step-by-step explanation:

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

the answer is b