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 x
</u>
- Combine like terms: -15x + 60 = 180
- Isolate x term: -15x = 120
- Isolate x: x = -8
<u>Step 3: Find m∠BDC
</u>
- Define: m∠BDC = (-7x + 12)°
- Substitute in x: m∠BDC = (-7(-8) + 12)°
- Multiply: m∠BDC = (56 + 12)°
- Add: m∠BDC = 68°
62 I hope it helps thank you
Answer:
-130 + 40 = -$90
Step-by-step explanation:
Answer:
9 cm explained to
Step-by-step explanation:
explained that
Answer:
Step-by-step explanation:
Given : Casey was at the surface of a swimming pool and recorded the following two measurements, in feet, on a number line: −8, which represents the depth of water in the swimming pool +7, which represents the height of the slide at the pool
To Find : What does 0 represent in this situation?
Describe the height of the slide in relation to 0 in the situation
Casey held a pole in the swimming pool. The bottom of the pole was at a depth of 2 feet. How should Casey mark the level of the bottom of the pole on the number line
Solution
0 represent in this situation - Top surface of Swimming pool - Surface matching with ground
height of the slide in relation to 0 in the situation = 7 feet
pole was at a depth of 2 feet = - 2
