Answer:
Step-by-step explanation:
5. a) ∠1 and ∠2 are remote interior angles of ∠ACD so that means that ∠ACD = ∠1 + ∠2
b) Because an exterior angle is the sum of its two remote interior angles it makes sense that an exterior angle is greater in measure than either of its remote interior angles.
6. BD = DB Reflexive property
∠3 = ∠5, ∠4 = ∠6 Alt. int. angles
ΔADB = ΔCDB ASA
7. AB = BC Def. of midpoint
∠1 = ∠2 Given
∠BAE = ∠CBD Corresponding angles
ΔBAE = ΔCBD ASA
∠D = ∠E CPCTC
Answer:
c
Step-by-step explanation:
i think c but not sure
Triangle QRS is plotted in Quadrant I. After a 180° rotation about the origin, which quadrant would its image be? quadrant III
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
- Subtraction Property of Equality<u>
</u>
<u>Algebra I</u>
- Terms/Coefficients
- Functions
- Function Notation
- Graphing
- Solving systems of equations
<u>Calculus</u>
Area - Integrals
Integration Rule [Reverse Power Rule]:
Integration Rule [Fundamental Theorem of Calculus 1]:
Integration Property [Addition/Subtraction]:
Area of a Region Formula:
Step-by-step explanation:
*Note:
<em>Remember that for the Area of a Region, it is top function minus bottom function.</em>
<u />
<u>Step 1: Define</u>
f(x) = x²
g(x) = x⁶
Bounded (Partitioned) by x-axis
<u>Step 2: Identify Bounds of Integration</u>
<em>Find where the functions intersect (x-values) to determine the bounds of integration.</em>
Simply graph the functions to see where the functions intersect (See Graph Attachment).
Interval: [-1, 1]
Lower bound: -1
Upper Bound: 1
<u>Step 3: Find Area of Region</u>
<em>Integration</em>
- Substitute in variables [Area of a Region Formula]:
- [Area] Rewrite [Integration Property - Subtraction]:
- [Area] Integrate [Integration Rule - Reverse Power Rule]:
- [Area] Evaluate [Integration Rule - FTC 1]:
- [Area] Subtract:
Topic: AP Calculus AB/BC (Calculus I/II)
Unit: Area Under the Curve - Area of a Region (Integration)
Book: College Calculus 10e