Arianna is working two summer jobs, making $6 per hour walking dogs and making $10 per hour tutoring. In a given week, she can work at most 11 total hours and must earn at least $80.

i can't see the picture : /

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

69.64%

step-by-step explanation:

"exterior angles = 360 / number of sides.

60 = 360 / sides

sides = 360 / 60

sides = 6"