Determine if the sequence below is arithmetic or geometric and determine the common difference / ratio in simplest form.
45, 15, 5, ...
This is
sequence and the
is equal to
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attempt 1 out of 2

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

step-by-step explanation: the answer for wha if rt is 10 centimeters long, and wha is st? it’s 6

answer: your answer is a