The overall length is given as 22.
The line is split into 2 parts X and 3X.
So we have X + 3X = 22
Add X and #X to get 4X:
4X = 22
Divide both sides by 4 to get X:
X = 22 /4
X = 5.5
Now we know what X is so now replace x with 5.5 and solve for LM:
LM = 3X = 3*5.5 = 16.5
The answer is B.)
The answers are using the distributive property. The distributive property multiplies both the numbers inside the parenthesis by the number that's on the outside of the parenthesis.
6x3 = 18, 6x4x=24x.
Hope this helps :) work hard!
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 
Answer: x = 54
Explanation:
180 - 14 = 166
3x + 4 = 166
3x = 162
x = 162/3 = 54