The additional information that would allow us to prove that the image is a parallelogram is that; Line EJ ≅ Line GJ
<h3>How to prove a Parallelogram?</h3>
The six basic properties of parallelograms are primarily;
- Both pairs of opposite sides are parallel
- Both pairs of opposite sides are congruent
- Both pairs of opposite angles are congruent
- Diagonals bisect each other
- One angle is supplementary to both consecutive angles (same-side interior)
- One pair of opposite sides are congruent AND parallel.
Now, looking at the parallelogram properties above and comparing with the given image of the quadrilateral attached, we can say that the additional information that would allow us to prove that the image is a parallelogram is that; Line EJ ≅ Line GJ
Read more about Parallelogram Proof at; brainly.com/question/24056495
#SPJ1
Answer:
The correct answer is option C
(f o g)(x) = 3x² + 7x + 2
Step-by-step explanation:
<u>Points to remember</u>
<u>Composite functions</u>
Let f(x) and g(x) be the two functions then (f o g)(x) can be written as
(f o g)(x) = f(g(x))
<u>To find the value of (f o g)(x)</u>
Here f(x) =x + 2 and g(x) = 3x² + 7x
(f o g)(x) = f(g(x))
= f(3x² + 7x)
= 3x² + 7x + 2
Therefore the correct answer is option C
(f o g)(x) = 3x² + 7x + 2
Answer:
f(x) + g(x) = x + 20
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
- Terms/Coefficients
- Functions
- Function Notation
Step-by-step explanation:
<u>Step 1: Define</u>
f(x) = 6x - 4
g(x) = -5x + 24
<u>Step 2: Find f(x) + g(x)</u>
- Substitute in functions: f(x) + g(x) = 6x - 4 + (-5x + 24)
- Combine like terms (x): f(x) + g(x) = x - 4 + 24
- Combine like terms: f(x) + g(x) = x + 20
.65 because 3/5 is equal to .6
