59*3 = 177 (Hope this helps!)
X=21<span>°
</span>y=31.5<span>°
Explanation:
Since it is a whole circle (360</span>°) and there are 40 section (90<span>° each).
2 of the 90</span>° +(180°)<span>are clearly stated there so you do:
360</span>°-180°=180<span>°
</span>
1. On the side that have 2 'y's you do:
90°-(12+15)=63
Then 63/2=31.5<span>°
</span>Therefore y=31.5<span>°
</span>
2. On the side with 3 'x's you do:
90<span>°-(12+15)=63
Then 63/3=21</span><span>°
</span>Therefore x=21<span>°
To cross check you do:
90+90+15+12+21+21+21+15+12+31.5+31.5=360
I hope you find this helpful.</span>
Answer: see proof below
<u>Step-by-step explanation:</u>
Use the Double Angle Identity: cos 2A = 2cos²A - 1
Use the Difference Identity: cos (A - B) = cosA · cosB + sinA · sinB
Use the Unit Circle to evaluate: cos (π/2) = 0 & sin (π/2) = 1
<u>Proof LHS → RHS</u>
LHS = RHS: sin A = sin A 
Answer:
The variable "a number" stands for 9.
Step-by-step explanation:
Rewrite the problem as 2 * (6 + x) = 30
Divide 30 into 2. 30/2 = 15
That means that the variable that is added to 6 must make the number 15.
15 - 6 = 9
The variable x is 9 so the equation would be:
2 * (6 + 9) = 30
Answer:
4c
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define</u>
5c - c
<u>Step 2: Simplify</u>
- [Subtraction] Combine like terms: 4c
