Use the diagram, which is not drawn to scale, to decide which proportions are true. A
1.
DB
DA
DC DB
II.
BA
CB
CB
BD
DB
DA
CA
BA
BA
CA
IV. BC
BA
I and IV only
b. ll only
C. I and II only
d. I only

chiken

step-by-step explanation:

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