Listen Jenny is taking five different classes. She works on homework for her classes most evenings. She is involved in
two after-school clubs that each meet once a week. Jenny also plays softball three times a week.
Which quantity is a variable in this situation?
O the number of days Jenny plays softball
O the number of days Jenny meets with her after-school clubs
O the number of evenings Jenny works on homework
the number of classes Jenny is taking

picture below

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

in mathematics, a constraint is a condition of an optimization problem that the solution must satisfy. there are several types of constraints—primarily equality constraints, inequality constraints, and integer constraints. the set of candidate solutions that satisfy all constraints is called the feasible set.

hoped i'm right lol