What is (6x2 - 13x + 5) = (2x-1)?
O A. 2x-1
O B. 3x-8
O C. -10x+ 5
O D. 3x-5

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step-by-step explanation:

answer: options

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

im not sure of the names, but the answer is 48