Answer:
45 and 135degrees
Step-by-step explanation:
Cos(8x+21)=sin(-2x+51) Find the two angles represented in degrees ??? Someone help its 1am I can't do this
In trigonometry, cosx = sin(90-x)
Hence:
Cos(8x+21) = sin(90-(8x+21))
Cos(8x+21) = sin(90-8x-21)
Cos(8x+21) = sin(-8x+69)
Substituting into the expression given, :
sin(-8x+69) = sin(-2x+51)
-8x+69 = -2x+51
-8x+2x = 51-69.
-6x = -18.
X = 18/6
X = 3
Since the angles 8x+21
Angle = 8(3)+21
Angle = 45
The angles represented in degrees are 45 and (180-45) = 135degrees
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
The slope is -1/4, which is -0.25x. We know that we are exactly 8 units to the left of the y axis, so we can use the slope to determine the change within the coordinates as the line moves across the graph. The slope has a rise of -1 and a run of 4, meaning every 4 units to the right will be 1 unit up. We must move 8 units to the right, which in turn moves the graph down 8 quarter units. 8 x (1/4) is 2, so we know that the graph has moved down 2 units. (Down because the graph has a negative slope). (-8,3)->(0,1). From this coordinate, we can see the y intercept is 1. Since y=mx+b, we can write y=-1/4x+1. This is your equation. (Sorry for the length, wanted to be thorough)
Answer:
Step-by-step explanation:
Y=1/2x+3
Its C.125 is the correct answer...
