How can you express (16 + 40) as a multiple of a sum of whole numbers with no common factor? a. 2 × (8 + 20) b. 4 × (4 + 10) c. 8 × (2 + 5) d. 16 × (1 + 5)

The answer is B

4(4+10)

4*4=16

4*10=40 which will give you (16+40)

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) 2/5

2) zero=0/1

3) zero=0/2

4) -4/5

5) undefined=3/0