a. vertical angles are congruent
b. congruence of angles is transitive
c. if two lines are cut by a transversal such that alternate interior angles are congruent, then the lines are parallel
Answer:
Step-by-step explanation:
There are two ways to do this.
1. You could make an accurate diagram and measure R. This works but the computer won't like it. However you will know if you are correct. An answer ± 2 degrees would tell you that you are likely correct.
2. The second way is to find <C. Similarity guarantees that <C and <R are equal. The adjacent side to angle C is the second longest line. The second longest line in PQR is the adjacent side of <R.
Naturally we will use the second method, but you ought to try the first method. It's cumbersome but it will teach you how to read the values of triangles to make clear the trig functions.
Tan(C) = opposite over adjacent
Tan(C) = 7 / 9
Tan(C) = .77777777...
<C = tan-1(0.7777777...)
<C = 37.87
<C = 37.9
If slope of the line is 1/3, then slope of the perpendicular line should be negative reciprocal, and so it is equal -3.
Answer: -3.
I was not sure if the x in your equation was a multiplication sign or a variable
6/7x
-1 multiplied by 3/7x times -2
And when you multiply two negatives it equals a posible so the -2 and -1 turn into a positive