An if-then statement must hold under any condition. Let's take it case by case:
A. This one makes sense, and is perfect! If two angles are vertical, then they must be congruent. This holds no matter what. This is your answer.
B. This doesn't hold because Alternate Interior Angles can also be congruent (along with many others). Two angles don't <em>have </em>to be vertical to be congruent.
C. This one is also true because this is the contrapositive of Option A. (Read my reasoning on D to know what a contrapositive is). Therefore, this is correct.
D. This one is the contrapositive of B, which makes it the exact same as B. Thus, this is not the answer. Contrapositive, by the way, just means that it's the inverse and opposite of a given statement. Let's say P is the contrapositive of Q. If this is the case, then if Q is true, P must be true. In our case, Option D is the contrapositive of Option B and since Option B is not true, neither is D.
Answer:
The value of the car will be 6100 dollars in 8.8 years
Step-by-step explanation:
Present value of car = $23900
The value of the car depreciates at 14.25% per year
Let x be no. of years in which the value of the car becomes 6100 dollars
Formula: 
Substitute the values :
Hence the value of the car will be 6100 dollars in 8.8 years
Answer:
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
- Midpoint Formula:
Step-by-step explanation:
<u>Step 1: Define</u>
Point (-4, -5)
Point (4, 7)
<u>Step 2: Find Midpoint</u>
Simply plug in your coordinates into the midpoint formula to find midpoint
- Substitute [MF]:
- Add:
- Divide:
11-3= 8
25-11 = 14
45- 25 = 20
14- 8= 6
20- 14 = 6
so,
20+ 6= 26
so,
<span>45+ 26= 71 ans.
the answer is 71</span>
9514 1404 393
Answer:
- domain: [2, 6]
- range: [6, 18]
Step-by-step explanation:
The domain is the horizontal extent of the graph. When end points are involved, you have to be able to tell if they are included in the function definition, or not. Here, the solid dots mean both end points are included.
The graph extends horizontally from 2 to 6. You read this from the "x" scale at the bottom. As an inequality, the domain is written ...
2 ≤ x ≤ 6
In interval notation, it is [2, 6]. Square brackets are used to indicate the end point values are included.
__
The range is the vertical extent of the graph. This one extends from y=6 to y=18. You read this from the "f(x)" scale on the left. The range can be written as ...
6 ≤ y ≤ 18
[6, 18]
