A 12 1/4 inch board is cut from a 34 3/4 inch board. The saw cut takes 3/8 inch. How much of the 34 3/4 inch board is left after cutting?

black lol

step-by-step explanation:

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step-by-step explanatio89

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

central angle of a triangle has the same measure as its intercepted arc.

step-by-step explanation: