Answer: see proof below
<u>Step-by-step explanation:</u>
Given: cos 330 = 
Use the Double-Angle Identity: cos 2A = 2 cos² A - 1

Proof LHS → RHS:
LHS cos 165
Double-Angle: cos (2 · 165) = 2 cos² 165 - 1
⇒ cos 330 = 2 cos² 165 - 1
⇒ 2 cos² 165 = cos 330 + 1
Given: 

Divide by 2: 

Square root: 
Scratchwork: 

Since cos 165 is in the 2nd Quadrant, the sign is NEGATIVE

LHS = RHS 
Answer:
68°
Step-by-step explanation:
ABD is a right angle and the measure of it is 90°
m<CBD + m<ABC = m<ABD
4x + 52° + 8x - 10 = 90° add like terms
12x + 42° = 90°
12x = 48°
x = 4
m<CBD is 4x + 52° replace x with 4
4×4 + 52 = 68°
Answer:
A. 5.75
Step-by-step explanation:
11.5/2 = 5.75
Answer Q3:
A) 2/6
This decimal would be written as 0.33333333 and on.
I don't get number 4 but I'm pretty sure its A because 12 times 12 is 144 and and you have to add the 18.