(2x-8)-(3w-3+5w+3)
(2w-8)-(8w) the equation
Final Answer
https://tex.z-dn.net/?f=(2w%20-%208)%20-%20(3w%20-%203%20%2B%205w%20%2B%203)%20%5C%5C%20(2w%20-%208)%20-%20(%208w)%20%5C%5C%20-%206w%20-%208
In this question, line1 and line2 are parallel to each other by finding the slope.
What is the slope of line?
Given two line-side coordinates, use the slope formula to determine the slope of the line. The slope is defined as the ratio of the change in the y values to the change in the x values using the formula m=(y2-y1)/(x2-x1). x1 and y1 are represented by the first point's coordinates. The second points are located at x2, y2, and their locations. Whichever point you choose to classify as the first and which as the second doesn't matter.
We know that formula two find the slope of the line joining two points which is
Given four lines are
Line 1: y=1/2x -6
(Line 2: x-2y=-1
(Line 3: y=4x+6
(Line 4: y+3=1/4 (x-6)
We have to find out the slope of the corresponding lines such that
the slope of line 1 = 1/2
the slope of line 2 = 1/2
the slope of line 3 = 4
the slope of line 4 = 14
So the line has the same slope they are parallel to each other.
Hence in this question, line1 and line2 are parallel to each other.
Learn more about Slope, by the following link
brainly.com/question/3493733
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Answer: (-4,-1), (-2,-1), (-5,-4), and (-1,-4)
Step-by-step explanation: The formula for finding the rotation of points on a graph depends on how far you want to rotate the point; r90°(x,y) = (-y,x), r180°(x,y) = (-x,-y), and a r270°(x,y) = (y,-x).
r180°(1,4) = (-1,-4) r180°(5,4) = (-5,-4) r180°(2,1) = (-2,-1) r180°(4,1) = (-4,-1)
I hope this helps, have a nice day.
Alright, lets get started.
Please refer the diagram, I have attached.
∠ABC is given as y.
So, the ∠EBC will be 180 - ∠ABC.
∠EBC = 180 - y
As given in question, BO is the bisector of ∠EBC, it means ∠OBC will be half of the ∠EBC.
∠OBC = of ∠EBC
∠OBC = (180 - y)
∠OBC =
Similarly,
the ∠DCB will be 180 - ∠ACB
∠DCB = 180 - z
As given in question, CO is the bisector of ∠DCB, it means ∠OCB will be half of the ∠DCB.
∠OCB = of ∠DCB
∠OCB = (180 - z)
∠OCB =
In triangle OBC, the sum of the angles of the triangle will be 180.
∠BOC + + = 180
∠BOC +
∠BOC = =
As per upper triangle ABC,
or
Putting this value in value of ∠BOC
∠BOC =
∠BOC =
∠BOC = 90 - : Hence proved
Hope it will help :)
I added a screenshot with the head of the question
Answer:sin (140°)
Explanation:Angle addition formulas are used to express the trigonometric function in terms of the sum/difference between two angles α and β
These rules are shown in the attached image.
Now, the given expression is::
sin97°cos43°+cos97°sin43°We have:
α = 97°
β = 43°
Comparing the given formula with the general formulas in the image, we would find that the given formula represents the sum of the sin of two angles.
Therefore:
sin97°cos43°+cos97°sin43°
= sin (97°+43°)
= sin (140°)
Hope this helps :)