Select the correct answer. What is this expression in simplest form?
45 + 1
412 + 5 + 1 12 - 4
1 + 2
OA.
OB.
1
(r + 1)(: - 2)
1
2)
4r + 1
(+ 1)(- 2)
41 + 1
1 - 2
O C.
OD.

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

1.3 million hoops i believe