I wanted to thank the community of for helping me get an A in math! I take Honors Geometry and my teacher is REALLY bad at explaining stuff, you guys have really helped me! So, free points!!

but you know i'm out here thinkin' about it

Step-by-step explanation:

77

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