What series of transformations would carry trapezoid abcd onto itself? (x + 0, y − 4), 90° clockwise rotation, reflection over the y-axis (x + 0, y − 4), 180° rotation, reflection over the y-axis (x + 6, y + 0), 90° clockwise rotation, reflection over the x‐axis (x + 6, y + 0), 180° rotation, reflection over the x‐axis

the answer is su.k.my? ? co.kc

if you need just tell me and i will come to the rescue.

step-by-step explanation:

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

twenty-six miles over two gallons because the proportion for the original 13 miles to one gallon would be written 13/1 and, doing the same thing to the top and bottom, i multiplied by 2 and got 26/2