a. 2. a->b is transversal
b. Statement: a and b are supplementary
Reason: angle a is 145 deg and angle b is 35 deg, the two angles add up to 180 degrees.
c. If you measure one angle and then subtract it from 180 you get the other angle.
3. The exterior angles
a. a and 2 are both 145 deg, 1 and b are both 35 deg
b. the fact that you can subtract one from 180 to get the other.
c. 145 degrees
4. Reflection
a. train tracks, roads.
b. The fact that the slope exists is a fairly major issue, using imaginary concepts allows for more freedom of geometric expression, an example of this is basically all of subspace and hyperspacial theory. Since it is purely theoretical and thus imaginary greater freedom is offered to generate theories and structures.
Answer:
(-3, 4)
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality<u>
</u>
<u>Algebra I</u>
- Terms/Coefficients
- Coordinates (x, y)
- Solving systems of equation using substitution/elimination
Step-by-step explanation:
<u>Step 1: Define Systems</u>
3y = -5x - 3
y = -x + 1
<u>Step 2: Rewrite Systems</u>
Equation y = -x + 1
- [Multiplication Property of Equality] Multiply everything by -3: -3y = 3x - 3
<u>Step 3: Redefine Systems</u>
3y = -5x - 3
-3y = 3x - 3
<u>Step 4: Solve for </u><em><u>x</u></em>
<em>Elimination</em>
- Combine 2 equations: 0 = -2x - 6
- [Addition Property of Equality] Add 6 on both sides: 6 = -2x
- [Division Property of Equality] Divide -2 on both sides: -3 = x
<u>Step 5: Solve for </u><em><u>y</u></em>
- Define original equation: y = -x + 1
- Substitute in <em>x</em>: y = -(-3) + 1
- Simplify: y = 3 + 1
- Add: y = 4
2 gallons * $2.58 per gallon = $5.16 expenses (total spent)
2 gallons * 16 cups = 32 total servings
32 cups * $0.75 per cup = $24 gross revenue (total income)
$24 - $5.16 = $19.84 net revenue (profit)
Answer:
C
Step-by-step explanation:
<h2>
Answer:</h2>
The rate of change between the points (–3, 0) and (–2, –5) is:
-5
<h2>
Step-by-step explanation:</h2>
The rate of change between the points (-5, 10) and (-4, 5) is -5.
Now we are asked to find the average rate of change between (-3,0) and (-2,-5)
We know that the average rate of change between two points (a,b) and (c,d) is calculated by the formula:
Here we have:
(a,b)=(-3,0) and (c,d)=(-2,-5)
Hence, the average rate of change is:
Also, we know that for any linear function the average rate of change is same between any two points.
Hence, the answer is:
-5
