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
Answer:
cos^(-1)(12/13) = 22.62°
Step-by-step explanation:
Inverse trig functions are used to find angles. I was taught SOH CAH TOA: sine = opposite/hypotenuse, cosine = adjacent / hypotenuse, tan = opposite / adjacent.
Here, we have an adjacent side length and the hypotenuse. So we use inverse cosine.
First is to get the given data that we might be able to use for computation.
H = 8 inches
Area = 96
B1 = B1
B2 = B1+6
Next is to know the area of a trapezoid
Area = H x (B1 + B2)/2
96 = 8 x (B1 + B1 + 6) / 2
96 = 8 x (2B1 + 6) /2
96 = 4 x (2B1 + 6)
14 = 2B1 + 6
2B1 = 8
B1 = 4
B2 = 10
