Step-by-step explanation:
everything can be found in the picture
Answer:
Angle ORP and Angle ORN are a linear pair
Step-by-step explanation:
The proof will entail making use of the fact that ∠ORP and ∠ORN are supplementary. Whether their description as a linear pair is a statement or a reason will depend on your approach to the proof. Apparently, here, you are calling this fact a "statement".
The second (and subsequent) line(s) of the table might be ...
2 (statement) ORP and ORN are a linear pair. (reason) OR is a common side and R is a common vertex on line PN for these angles, hence they meet the definition of a linear pair.
3 (statement) ORP and ORN are supplementary. (reason) definition of a linear pair
4 (statement) 80 + (3x+10) = 180. (reason) substitution property; supplementary angles sum to 180 degrees
5 (statement) 3x = 90. (reason) subtraction property of equality
6 (statement) x=30. (reason) division property of equality
If my addition is correct then i will say 1140. But im not 100% on that answer.
The given graph is a straight line passing through points (-4, -3) and (1, 5)
Equation in point slope form is y + 3 = (5 - (-3))/(1 - (-4)) (x - (-4))
y + 3 = 8/5(x + 4)
y + 3 = 8/5x + 32/5
y = 8/5x + 32/5 - 3
y = 8/5x + 17/5
Multiplying through by 5 gives
5y = 8x + 17
-8x + 5y = 17
Options B and C are the correct answers.
