Answer:
x = -15
Step-by-step explanation:
Step 1: Write equation
3(2x - 5) - 3(x - 7) = 2x - 9
Step 2: Distribute
6x - 15 - 3x + 21 = 2x - 9
Step 3: Combine like terms
3x + 6 = 2x - 9
Step 4: Subtract 2x on both sides
x + 6 = -9
Step 5: Subtract 6 on both sides
x = -15
Answer:
∠APD and ∠CPB are Vertical Angles
Equation: 6x - 10 = 4x + 8
Step-by-step explanation:
We use the Vertical Angles Theorem to solve for <em>x</em>:
Step 1: Set up equation
6x - 10 = 4x + 8
Step 2: Subtract 4x on both sides
2x - 10 = 8
Step 3: Add 10 to both sides
2x = 18
Step 4: Find <em>x</em> by dividing 2 on both sides
x = 9
Step 5: Plug in <em>x</em> for 9 to find degree measure
m∠CPB = 4(9) + 8
m∠CPB = 36 + 8
m∠CPB = 44°
m∠CPB = m∠APD (Vertical Angles)
m∠APD = 44°
Leah has 5 meters of cloth in total, because she has a total of 5 friends which means when divided equally, she has given each friend 1 meter of cloth.
Answer:
C
Step-by-step explanation:
Since the output is just the input multiplied by 3, the output will be 15.4*3=46.2, or answer choice C. Hope this helps!
Answer:
x = -1
General Formulas and Concepts:
<u>Pre-Alg</u>
- Order of Operations: BPEMDAS
- Equality Properties
Step-by-step explanation:
<u>Step 1: Define equation</u>
5x - (x + 4) + 1 = 3 - 2(x + 6)
<u>Step 2: Solve for </u><em><u>x</u></em>
- Distribute: 5x - x - 4 + 1 = 3 - 2x - 12
- Combine like terms: 4x - 3 = -2x - 9
- Add 2x on both sides: 6x - 3 = -9
- Add 3 to both sides: 6x = -6
- Divide both sides by 6: x = -1
<u>Step 3: Check</u>
<em>Plug in x to verify it's a solution.</em>
- Substitute: 5(-1) - (-1 + 4) + 1 = 3 - 2(-1 + 6)
- Parenthesis (Add): 5(-1) - 3 + 1 = 3 - 2(5)
- Multiply: -5 - 3 + 1 = 3 - 10
- Subtract: -8 + 1 = -7
- Add: -7 = -7
