Answer: see proof below
<u>Step-by-step explanation:</u>
Given: A + B + C = π → C = π - (A + B)
→ sin C = sin(π - (A + B)) cos C = sin(π - (A + B))
→ sin C = sin (A + B) cos C = - cos(A + B)
Use the following Sum to Product Identity:
sin A + sin B = 2 cos[(A + B)/2] · sin [(A - B)/2]
cos A + cos B = 2 cos[(A + B)/2] · cos [(A - B)/2]
Use the following Double Angle Identity:
sin 2A = 2 sin A · cos A
<u>Proof LHS → RHS</u>
LHS: (sin 2A + sin 2B) + sin 2C
![\text{Factor:}\qquad \qquad \qquad 2\sin C\cdot [\cos (A-B)+\cos (A+B)]](https://tex.z-dn.net/?f=%5Ctext%7BFactor%3A%7D%5Cqquad%20%5Cqquad%20%5Cqquad%202%5Csin%20C%5Ccdot%20%5B%5Ccos%20%28A-B%29%2B%5Ccos%20%28A%2BB%29%5D)
LHS = RHS: 4 cos A · cos B · sin C = 4 cos A · cos B · sin C 
Slope = (10-1)/(1+2) = 9/3 = 3
y = mx + b
1 = 3(-2) +b
1 = -6 + b
b = 7
equation
y = 3x + 7
or
3x - y = -7
answer is <span>3x − y = −7 (first choice)</span>
Answer:
or around 2%
Step-by-step explanation:
So we need to see how many tiles are left.
100 - 6 = 94
So we have 94 tiles. 2 of them are blank, so the chance of one being blank is:
2 / 94 which is
And that is our answer! Hopefully this helps, have a nice day :D
They are parallel since x and y are bottom and top
Answer:
a) DE = 15
b) AB = 6
Step-by-step explanation:
24/8 = 3
18/3 = 6
5*3 = 15
