By definition, pi is the ratio of the circumference of a circle to its diameter. In other words, pi equals the circumference divided by the diameter (π = c/d). Conversely, the circumference of a circle is equal to pi times the diameter (c = πd).
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Answer:
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtract Property of Equality
<u>Pre-Calculus</u>
Law of Sines:
- A, B, C are angle measures
- a, b, c are leg lengths
Step-by-step explanation:
<u>Step 1: Identify</u>
A = 27°, a = 11
B = x°, b = 15
<u>Step 2: Solve for </u><em><u>x</u></em>
- Substitute [LOS]:
- Cross-multiply:
- Isolate <em>x</em> term:
- Isolate <em>x</em>:
- Evaluate:
- Round:
Answer:
x = 23
Step-by-step explanation:
∠ ABE = ∠ BEF = 4x ( alternate angles )
Since DBF is a straight line then the 3 angles sum to 180°, that is
x + 4x + 65 = 180
5x + 65 = 180 ( subtract 65 from both sides )
5x = 115 ( divide both sides by 5 )
x = 23