Chase is a songwriter who collects royalties on hi songs whenever they are played in a commercial or a movie.
Chase will earn $30 on every time one of his songs is
played in a commercial and he will earn $80 every time
one of his songs is played in a movie. Chase earned a
total of $480 in royalties on 11 commercials and movie.
Write and solve a system of equations to determine the
number of commercials and the number of movies on
which Chase's songs were played. ** SHOW ALL
WORK!! **

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

hi,

the area of abcd is 245.

3*24=230

4*94=1039

2*12=24

add all of them up, you get 2450

your answer is b.

1,333 cubic feet  

and i know this one is right.