Look at the figure below: Make a two-column proof showing statements and reasons to prove that triangle NMT is similar to triangle PMN. (10 points)

Step-by-step explanation:

Given:

m∠NPT = m∠TNM = 50°

To prove:

ΔNMT ~ ΔPMN

Solution:

                 Statements                           Reasons

1). m∠NPT = m∠TNM                      1). Given

2). ∠NMP ≅ ∠NMP                         2). Reflexive property

3). ΔNMT ~ ΔPMN                          3). By AA property of similarity of two

                                                            triangles

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: