Option ( A ) is the correct answer.
- Sum of all interior angle of a regular pentagon is 540°
- Number of edges in regular pentagon is 5.
- Number of vertices in regular pentagon is 5.
Answer:
x = 5
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
- Subtraction Property of Equality
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
2(3x - 7) = 16
<u>Step 2: Solve for </u><em><u>x</u></em>
- [Division Property of Equality] Divide 2 on both sides: 3x - 7 = 8
- [Addition Property of Equality] Add 7 on both sides: 3x = 15
- [Division Property of Equality] Divide 3 on both sides: x = 5
Answer:
a) two
b) S = {Orange, Purple}
c) 50%
d) 50%
Step-by-step explanation:
a)
When a marble is drawn from the jar, there are <u>two</u> possible outcomes. Either the marble will be orange or it will be purple.
b)
A sample space is a set of all possible outcomes of an event. Thus, the sample space in this case will be:
<u>Sample Space = {Orange, Purple}</u>
c)
The probability of an event is given as the number of favorable outcomes divided by the number of total outcomes.
Therefore,
Probability of selecting orange marble = P(Orange) = 1/2
<u>P(Orange) = 0.5 = 50%</u>
d)
Probability of selecting purple marble = P(Orange) = 1/2
<u>P(purple) = 0.5 = 50%</u>
Answer:
-3a² - ab - 7ac - 2b² + 6bc + 4c²
Step-by-step explanation:
Step 1: Distribute
3a² + 3ab + 3ac - 2ab + 2b² -2bc
Step 2: Combine like terms
3a² + ab + 3ac + 2b² - 2bc
Step 3: Distribute again
-4ac + 4bc + 4c² - (3a² +ab + 3ac + 2b² -2bc)
Step 4: Combine like terms again
-3a² - ab - 7ac - 2b² + 6bc + 4c²
And you have your final answer.
