C. You can get rid of B and D right away, because the length is longer than the width. Then you just multiply the remaining options to see which one's product is 204. It would be C because 12*17=204.
Answer:
13) a and b, b and c
14) a = 59°, b = 121°, c = 59°
15) a = 45°, b = 135°, c = 135°
16) a = 72°, b = 108°, c = 108°
Add the two together. You get -3x-5x-y+y=6+10 which simplifies to -8x = 16 or x=-2
Answer:
Step-by-step explanation:
g(x) = 2x - 7
==============
_____________
= 2(2x - 7) - 7
= 4x - 14 - 7
= 4x - 23
Answer:
x = 3
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>
17 - (3x + 5) = 3x - 6
<u>Step 2: Solve for </u><em><u>x</u></em>
- Distribute negative: 17 - 3x - 5 = 3x - 6
- Add 3x on both sides: 17 - 5 = 6x - 6
- Combine like terms: 12 = 6x - 6
- Isolate <em>x</em> term: 18 = 6x
- Isolate <em>x</em>: 3 = x
- Rewrite: x = 3
<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>: 17 - (3(3) + 5) = 3(3) - 6
- Multiply: 17 - (9 + 5) = 9 - 6
- Add: 17 - 14 = 9 - 6
- Subtract: 3 = 3
Here we see that 3 does indeed equal 3.
∴ x = 3 is the solution to the equation.
