(another question would be “you are supposed to use order of operations where there are multiple sets of operations inside parentheses, true or false? ”)

1 because using your order of operations you start parenthesis and inside that parenthesis is an exponent so you start with that. So 2^3 is 8. Now you have 20-(3x8-5). Now you do the multiplication in the parenthesis. So you get 20-(24-5). Finishing what is in the parenthesis you subtract 5 from 24 to get 20-19 or 1.

answer: 2/4

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