Triangle ABC is similar to triangle DEF. Solve for r.

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Step-by-step explanation:

since they're similair then similair sides will be proportional

CB is similair to EF

=

same thing if you try with the hypotenuse AB similair to DE

=

So, if you multiply  r (DF) by 3/4  you will get the similair side AC

rx 3/4=12

r= 12÷ 3/4

r=16

since your problem is x^4 = 81, what you have to undeo is the "to the fourth power" part.

the inverse (opposite operation) of "to the fourth power" is "to the fourth root".

  (x^4) ^ ¼   = 81 ^ ¼  

  81 = 3^4     so (3 ^ 4) ^ ¼   =   3 ^ 1   = 3

by hand: (3 ^ 4) ^ ¼   =   3 ^ (4 x ¼) = 3 ^ 1   = 3   (when you take a power to a power, multiply the exponents.)

or, do it by calculator. one way of finding the fourth root is to use ^ (1/4)

step-by-step explanation:

step-by-step explanation: