Answer:
sin2θ - cos2θ = 2sin² θ
Step-by-step explanation:
hello :
tan θ = 1 means : sinθ /cosθ so : sinθ =cosθ
sin2θ = 2sin θ cosθ =2sin² θ
cos2θ = cos²θ - sin²θ = sin²θ - sin²θ =0
sin2θ - cos2θ = 2sin² θ
2b + 21 < 22
b is the unknown number so multiply it by 2 to get 2b then add 21, bring the less than sign and write the 22 after the less than sign
Answer:
m<C = 119°
Step-by-step explanation:
Create an equation to find the value of x.
(9x - 26)° = (2x - 12)° + (4x + 43)° (exterior angle theorem of a ∆)
Solve for x
9x - 26 = 2x - 12 + 4x + 43
Add like terms
9x - 26 = 6x + 31
9x - 6x = 26 + 31
3x = 57
Divide both sides by 3
x = 19
✔️m<C = 4x + 43
Plug in the value of x
m<C = 4(19) + 43
m<C = 76 + 43
m<C = 119°
The basic rigid motions are A) Translation, reflections and rotations
In other words, we can shift an object, mirror it over a line, or turn it, to keep the same basic size and shape of the object. The object keeps the same area and perimeter, as well as the angles and sides staying the same as well.
A transformation that isn't a rigid motion would be a dilation. A dilation enlarges or shrinks a figure, so it doesn't keep the same size (though it keeps the same shape to make the before and after figures similar).
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A turn is also called A) rotation
A rotation needs to have information about what center point you're turning around. Often this is the origin. You'll also need the amount of rotation applied, as well as if you're going counterclockwise or clockwise.
Answer:
9 th term
Step-by-step explanation:
Equate 65 - 4n to 29 and solve for n , that is
65 - 4n = 29 ( subtract 65 from both sides )
- 4n = - 36 ( divide both sides by - 4 )
n = 9
