The point A(5,-2) has been transformed to A'(-5,2). The transformation is described as
a) r(90,0), clockwise
b) r(90,0), counter- clockwise
c) r(180,0)
d) Ry-axis

C

Step-by-step explanation:

If the y and x changed places, then, the point was rotated half a full rotation around, which is 180 degrees

Thus, the answer is C

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