A single angle is generally not considered to be supplementary. Supplementary angles are angles that equal 180° when they are added together. For example, 70° and 110° are supplementary because they equal 180°.
However, I guess the supplementary angle can be the angle that must be added to another to total 180°. For example, 80° is the supplementary angle of 100°.
Answer:
The correct answer is actually B. x - 3y < 5
Step-by-step explanation:
Because you must convert the equation to y-intercept form first.
Which makes it y = 1/3x - 1.6
So y = 1.6 and using the slope of 1/3x you can find that x = 5
Answer:
7. r = -5
8. 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</u>
r + 2 - 8r = -3 - 8r
<u>Step 2: Solve for </u><em><u>r</u></em>
- Combine like terms: -7r + 2 = -3 - 8r
- Add 8r to both sides: r + 2 = -3
- Subtract 2 on both sides: r = -5
<u>Step 3: Check</u>
<em>Plug in r into the original equation to verify it's a solution.</em>
- Substitute in <em>r</em>: -5 + 2 - 8(-5) = -3 - 8(-5)
- Multiply: -5 + 2 + 40 = -3 + 40
- Add: -3 + 40 = -3 + 40
- Add: 37 = 37
Here we see that 37 does indeed equal 37.
∴ r = -5 is a solution of the equation.
<u>Step 4: Define equation</u>
-4x = x + 5
<u>Step 5: Solve for </u><em><u>x</u></em>
- Subtract <em>x</em> on both sides: -5x = 5
- Divide -5 on both sides: x = -1
<u>Step 6: Check</u>
<em>Plug in x into the original equation to verify it's a solution.</em>
- Substitute in <em>x</em>: -4(-1) = -1 + 5
- Multiply: 4 = -1 + 5
- Add: 4 = 4
Here we see that 4 does indeed equal 4.
∴ x = -1 is a solution of the equation.
Hi there!
From this problem we can pull out some key information and remove any excess.
- The trail is 1/4 of a mile long.
- Angelo rode around the trail 8 times.
- Angelo claims he rode 8/4 miles.
- Teresa claims he rode 2 miles.
From that we know that if Angelo rode around the trail 8 times and the trail is 1/4 a mile, he in total rode 8/4 of a mile.
However, Teresa claims he rode 2 miles!
And the answer is... they're both correct!
Angelo did indeed ride 8/4 miles however that is equivalent to 2 miles so they are both in the right.
A because the line of symmetry is where the two parts of the image will meet
