Answer:
x = 35
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
- Equality Properties
<u>Geometry</u>
- Definition of a Line: A line is 180°
Step-by-step explanation:
<u>Step 1: Set up equation</u>
40° + (2x + 30)° + 40° = 180°
<u>Step 2: Solve for </u><em><u>x</u></em>
- Combine like terms: 2x + 110 = 180
- Subtract 110 on both sides: 2x = 70
- Divide 2 on both sides: x = 35
Answer:
There is an asymptote at x = 0
There is an asymptote at y = 23
Step-by-step explanation:
Given the function:
(23x+14)/x
Vertical asymptote is gotten by equating the denominator to zero
Since the denominator is x, hence the vertical asymptote is at x = 0. This shows that there is an asymptote at x = 0
Also for the horizontal asymptote, we will take the ratio of the coefficient of the variables in the numerator and denominator
Coefficient of x at the numerator = 23
Coefficient of x at the denominator = 1
Ratio = 23/1 = 23
This means that there is an asymptote at y = 23
If the probability of spinning an A once is 1/12, then the probability of spinning an A 3 times is 3 × 1/12.
3 × 1/12 = 3/36
Simplify
3/36 = 1/12
