Can someone help I don’t understand my answer are not adding up

B

Step-by-step explanation:

∠ ABC = 9x + 5 ( alternate angles )

∠ ABC and ∠ DCB are sam- side interior angles and sum to 180° , that is

9x + 5 + 16x = 180

25x + 5 = 180 ( subtract 5 from both sides )

25x = 175 ( divide both sides by 25 )

x = 7

Then

∠ ABC = 9x + 5 = 9(7) + 5 = 63 + 5 = 68° → B

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

step-by-step explanation: