A90° clockwise rotation around the origin is represented by the rule (x, y) → (y, -x). which statement about perpendicular lines is true?

If you find the reciprocal of the slope of a line and multiply it by -1, you get the slope of a perpendicular line.

Step-by-step explanation:

This is the perpendicular lines theorem.

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

the olimpics is not going to wokk out

step-by-step explanation: