Answer:
30°
Step-by-step explanation:
A dilatation does not change the size of the angles in the triangles only the length of the sides.
ΔABC and ΔXYZ are therefore similar and corresponding angles are congruent, hence
∠X = ∠A = 50°
∠Y = ∠B = 100°
The sum of the 3 angles in the triangle = 180°, thus
∠Z = 180° - (50 + 100)° = 180° - 150° = 30°
Numbers on the y-axis on a coordinate plane increase in UP direction.
Left hand side is '-x', right hand side is 'x'
Up is 'y' and down is '-y'
Y is the vertical axis and X is horizontal axis.
Answer:
We have to prove
sin(α+β)-sin(α-β)=2 cos α sin β
We will take the left hand side to prove it equal to right hand side
So,
=sin(α+β)-sin(α-β) Eqn 1
We will use the following identities:
sin(α+β)=sin α cos β+cos α sin β
and
sin(α-β)=sin α cos β-cos α sin β
Putting the identities in eqn 1
=sin(α+β)-sin(α-β)
=[ sin α cos β+cos α sin β ]-[sin α cos β-cos α sin β ]
=sin α cos β+cos α sin β- sinα cos β+cos α sin β
sinα cosβ will be cancelled.
=cos α sin β+ cos α sin β
=2 cos α sin β
Hence,
sin(α+β)-sin(α-β)=2 cos α sin β
Answer:
C (0, 9)
Step-by-step explanation:
First, X is reflected across the line x=2.
X(4, -7) becomes X'(0, -7).
Next, X' is reflected across the line y=1.
X'(0, -7) becomes X"(0, 9).
Answer:
On graph Y is vertical line and the intercept is where it matches x , as x is horizontal and always first to find. The usual equation to find x = 0 will always give you the y value in the given equation.
Step-by-step explanation: