Answer the following questions given this sequence: 400, 350, 300, 250, 200

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 equation is not included but the answer is (1.50, 2.00, 2.75)

step-by-step explanation:

10 - 8 = -2

  8 - 6 = -2

etc, so -2 is the common difference

step-by-step explanation: