The distance from the origin to the point (-20, 21) is

For this case we have that by definition the distance between two points is given by:

Where we have the points are given by:

Substituting values we have:

The distance from the origin to the point (-20, 21) is:

d = 29

answer: the common difference is -0.10

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