Answer:
x = -8
m∠BDC = 68°
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
<u>Geometry</u>
- Definition of a Line: A line is 180°
Step-by-step explanation:
<u>Step 1: Set up Equation</u>
m∠BDC + m∠CDA = 180°
(-7x + 12)° + (-8x + 48)° = 180°
<u>Step 2: Solve for </u><em><u>x</u></em>
- Combine like terms: -15x + 60 = 180
- Isolate <em>x</em> term: -15x = 120
- Isolate <em>x</em>: x = -8
<u>Step 3: Find m∠BDC</u>
- Define: m∠BDC = (-7x + 12)°
- Substitute in <em>x</em>: m∠BDC = (-7(-8) + 12)°
- Multiply: m∠BDC = (56 + 12)°
- Add: m∠BDC = 68°
Its a bar graph, hope that helped!
All dices have 3 even numbers and 3 odd numbers so for the first dice, the probability is 3/6, same goes for the second and the third dice. total=9/18 which is half of the time, you will get even numbers.
The number of ways you can pick 3 people from 9 = 9*8*7 / 3*2*1 = 84
So chance of picking the 3 suspects = 1 / 84.
The number of ways to pick 3 from the 6 innocent people = 6*5*4 / 3*2*1 = 20
Chances of picking 3 innocent people = 20 / 84 or 5/21