A restaurant has a large fish tank. Some of the fish are goldfish, and some are not. Some of the fish are more than a year old, and some are not. Let set of fish that are goldfish be G and let the set of fish that are more than a year old be M. The numbers of fish in various categories are shown below

the volume is the product of the area of the base, 3x(3x+4), and the height, 3x-1

step-by-step explanation:

the aswere is the one with all 8's and the second one is with the 10,8 and 6

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