Use the proof diagram to complete the question. State the missing reason in this proof for the letter given. Can anyone help me out? Really struggling. Thanks.

See below.

Step-by-step explanation:

We know that and we want to prove that .

  Statements                                         Reasons

1)                                               Given

2)                                              A) Vertical Angles Are Congruent

3)                                             B) Substitution Property

4)                                                   C) Alternate Interior Angles Converse*

*We know that alternate interior angles are congruent when two parallel lines are cut by a transversal. So, the converse states that if the two alternate interior angles are congruent, the the two lines must be parallel.

Further Notes:

I'm not sure why they did more than necessary. Since , they are corresponding angles. Then by the Corresponding Angles Converse, p must be parallel to r.

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:

is there any photos or whatever?