Answer:
Step-by-step explanation:
By the trapezoid midsegment theorem,
2x = (x-6) + (2x-8)
2x = x - 6 + 2x - 8
2x = 3x - 14
x = 14
So we know AD = 8, EF = 14, and BC = 20
Answer:
9 units2
Step-by-step explanation:
area of a triangle= lengthxwidth/2
3x6=18/2=9
Answer: 
Step-by-step explanation:
What you are trying to do is isolate the variable x. For you to do that you have to first simplify the left side of the equation and then you solve for x.
Answer:
x = 1
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
Step-by-step explanation:
<u>Step 1: Define Equation</u>
3(4x - 5) - 4x + 1 = -6
<u>Step 2: Solve for </u><em><u>x</u></em>
- Distribute 3: 12x - 15 - 4x + 1 = -6
- Combine like terms: 8x - 14 = -6
- Isolate <em>x</em> term: 8x = 8
- Isolate <em>x</em>: x = 1
<u>Step 3: Check</u>
<em>Plug in x into the original equation to verify it's a solution.</em>
- Substitute in <em>x</em>: 3(4(1) - 5) - 4(1) + 1 = -6
- Multiply: 3(4 - 5) - 4 + 1 = -6
- Subtract: 3(-1) - 4 + 1 = -6
- Multiply: -3 - 4 + 1 = -6
- Subtract: -7 + 1 = -6
- Add: -6 = -6
Here we see that -6 does indeed equal -6.
∴ x = 1 is the solution to the equation.
Answer:
2x-10
Step-by-step explanation:
