Which sequence of transformations will map figure k onto figure k Renection across x = 4, 180° rotation about the origin, and a translation of oxy O Reflection across x = 4 180° rotation about the origin, and a translation of ox-5.7 Retection across y = 4. 180° rotation about the origin, and a translation of Ox+ 8.1 Retection across y = 4 180° rotation about the origin and a translation of ox-8)

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

40 x 50 = 2000

step-by-step explanation:

16 would be your answer