Answer:
5x +11
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 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°
Using the power law (x^27 ⋅ y)^1/3 equals x^9 ⋅ x^1/3.
Raising a number to the 1/3 is the same as cube rooting.
So the simplified response is x^9(cube root of y).
answer: 2nd choice
Answer:
24
Step-by-step explanation:
W= 8
L = 3W, so L= 24