An aquarium has 12 equal size tanks of fish on display. all together, the tanks hold 643.8 gallons of water. how much water can each tank hold? a) 53.35 b) 53.65 c) 55.63 d) 56.53

53.65 gallons → B

Since the tanks are equal in size then to find the volume of 1 tank

divide the total by 12

one tank = = 53.65

none of the above.

for one of the equations to be used in the process, there has to be a term in the equation since squared is .

since there is only a term in the first equation, we cannot derive a from completing the square.

solving with completing the square

c.   x=2.4cm

step-by-step explanation:

similar triangles are triangles which have the same shape but not the same size. this means their angle measures are equal but their side lengths are not instead they are proportional. to solve, we will set up a proportion and solve.

a proportion is two equal ratios set equal to each other. we form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

.

to solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.