Answer: A rotation about 270 degrees CW about the origin and 90 CCW about the orgin.
Step-by-step explanation: Using the rules of 90 degrees Counterclockwise
(x,y)⇒( -y,x)
D is 3,2 then it goes to -2,3 which were A is
E is 3,7 then it goes to -7,3 which C is at
F is 10,5 then it goes to -5,10 where B at.
Also it 270 CW because 270 CW is the same as 90 CCW.
Answer:
y = -2x - 5
Step-by-step explanation:
The given slope, or m, is -2 and the given y-intercept, or b, is -5.
The y-intercept equation is y = mx + b, so by knowing this equation all you need to do is plug in the given slope and y-intercept
y = -2x - 5
Answer:
Step-by-step explanation:
Given that, a series of triangle,
For the sine and cosine to be equal, then,
Sinθ = Cosθ
From, trigonometry identities
Sinθ = Cos(90-θ)
Then,
θ = 90-θ
θ + θ = 90
2θ = 90
θ = 90 / 2
θ = 45°
From the triangle given, using trigonometry ratio,
Sinθ = opposite / hypotenuse.
Sinθ = 20 / 25
Sinθ = 0.8
θ = arcsin(0.8)
θ = 53.13°
The other angles at the triangle is
90-53.13 = 36.87°.
First picture:
When two lines intersect, they form 4 angles. Each 2 vertically opposed angles, are equal.
The sum of 2 angles is 114. We suppose they are vertically opposed, which means that each angle is 114/2 = 57 degrees.
Now the 4 angles of 2 intersect lines form a 360 degrees angle. Which means that the sum of the 2 other angles is 360 - 114 = 246 degrees.
Same thing, we divide that angle in 2 and we get 246/2 = 123. Which means that the other 2 angles are 123 degrees each.
So the sum of all the angles are 57, 57, 123 and 123.
Second Picture:
By hypothesis, we know that the angle is 172 degrees. The angle bisector divides an angle in 2 equal angles. So both angles, in this case, will be 172/2 = 86 degrees.
So the measure of an angle formed by the angle bisector of a given angle (172 degrees) and one of its sides is, in this case, 86 degrees.
Hope this helps! :)
Answer:
idk maybe $4,793.85
Step-by-step explanation: