Use rectangle ABCDIf mzBAC = (4x + 5)º and m CAD = (5x - 14)°, find m2CAD.

m CAD is 41°

Step-by-step explanation:

The angles in a rectangle are 90 degrees each as the sides are perpendicular. A such, given that mzBAC = (4x + 5)º and m CAD = (5x - 14)°, then

4x + 5 + 5x - 14 = 90

Rearrange the equation

4x + 5x + 5 - 14 = 90

9x - 9 = 90

Collect like terms

9x = 90 + 9

9x = 99

Divide both sides by 9

x = 99/9

= 11

Recall that  m CAD = (5x - 14)°

Substitute the value of x into the expression

Hence

m CAD = (5*11 - 14)°

= (55 - 14)°

= 41°

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:

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