Can someone help me with this question I don’t understand it

Step-by-step explanation:

Caution! Don't Use "AAA"

AAA means we are given all three angles of a triangle, but no sides.

There is no congruency theorem

Step-by-step explanation:

We don't know that the triangles are congruent.  We know that the angles are the same that makes the triangles similar.  We need at least one side being equal to make the triangles congruent

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

your answer   is c

step-by-step explanation: