Answer:
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
- Subtract Property of Equality
<u>Algebra I</u>
- Solving quadratics
- Multiple roots
<u>Algebra II</u>
- Logarithms
- Euler's number e
Step-by-step explanation:
<u>Step 1: Define</u>
<u>Step 2: Solve for </u><em><u>x</u></em>
- Raise both sides by e:
- Simplify equation:
- Square root both sides:
Answer:
B = 160°
Step-by-step explanation:
This is how I solved it (I hope the explanation isn't too confusing):
Since L and K are parallel, I drew a straight line from A to B. By doing this, I'm making a triangle: ΔABC
Then I solved for the angles of the triangle. First, we are given that ∠C = 80° and ∠A = 120°. Although, when I drew the vertical line from A to B, it made a 90° (see attachment).
So what we basically did was break ∠A into two parts: an angle inside ΔABC and one outside. To find the interior angle, simply subtract 90° from 120° to get 30°.
There are 180° in a triangle, so add the two interior angles you know:
30° + 80° = 110°
Then subtract 110° from 180° to find the final interior angle which is:
180° - 110° = 70°.
To find the measure of angle B, you must add all of the parts together, so the 90° outside angle and the 70° interior angle:
90° + 70° = 160°
Answer:
120-4.50 = 115.10
Step-by-step explanation:
She will have $115.10 left if she buys one mean
Answer:
C. 16
Step-by-step explanation:
240/15
Step one: 10x15= 150
240-150= 90
Partial quotient: 10
Step two: 6x15= 90
90-90= 0
Partial quotient: 6
Step 3: 10+6= 16
Answer check: 240/15= 16
