On a certain river, a paddleboat travels 12 miles upstream (against the current) in the same amount of time it travels 20 miles downstream (with the current). if the current of the river is 2 miles per hour, determine the speed of the boat in still water.

We will take velocity of the boat Vb and velocity of the river Vr=2 mph

Distance D1=12 miles and distance D2=20 miles and t is the time.

First equation is (Vb-Vr) * t = D1 and the second is (Vb+Vr) * t = D2

When we replace data we have we get

(Vb-2) *t = 12  and (Vb+2) * t = 20

From the first equation t= 12/(Vb-2)

From the second equation t=20/(Vb+2)

If the left sides of equations are equal then the right sides are equal too,

and we get   12/(Vb-2)=20/(Vb+2) then we multiply crosswise and get

12*(Vb+2)=20*(Vb-2) => 12Vb+24=20Vb-40 => 20Vb-12Vb=40+24 =>

8Vb=64 => Vb=64/8=8mph  Velocity ( or speed) of the boat is Vb= 8mph

Good luck!!!

option: d is the correct answer.

d) none of the above.

step-by-step explanation:

clearly from the figure attached to the question we could see that there is no shape given. hence without any shape given in the figure and after rotation we can't obtained a square pyramid.

since, to obtain a image we need a proper figure of the pre-image so that it can be transformed.

hence, the correct answer is:

d) none of the above.

step-by-step explanation:

answer: i feel you honey.

step-by-step explanation: