Answer:
<em>For each horizontal foot, the roller coaster changes </em><em>6 feet</em><em> of height.</em>
Step-by-step explanation:
Across a horizontal distance of 25 feet, a roller coaster has a steep drop.
So the run is 25 feet.
The height of the roller coaster at the bottom of the drop is -150 feet. (Negative sign is given because it is measured from the top to bottom)
So the rise is 150 feet.
The slope of the roller coaster is,

Slope of 6 means, for 1 unit of run, the object has a rise of 6 units.
Therefore, for each horizontal foot, the roller coaster changes 6 feet of height.
Answer: 122
Step-by-step explanation:
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°