<,>,= 9.14
<
9.19
22.12
22.1
710
>
0.7
42.1
>
4.21
3.098
>
3.089
0.99
99 hundredths
7 hundredths
7 tenths
1000
999.999
29.04
29.004

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