Answer:
3x²
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>
[Given] f(x) = x²
[Solve] f(x) + f(x) + f(x)
<u>Step 2: Find</u>
- Combine like terms: 3f(x)
- Substitute in function: 3(x²)
- Multiply: 3x²
Probability that the first 2 of the friends to show up to the movie are friends he has known since kindergarten but the third not is 1/10
Total friends = 10
Friends from kindergarten = 4
Probability is the chance that a given event will occur. Probability of an event lies within 0 to 1
P(E) = Favourable outcomes / Total outcomes
Probability of getting 1st friend from kindergarten = 4/10
Probability of getting 2nd friend from kindergarten = 3/9
Probability of getting 3rd friend not from kindergarten = 6/8
Since all these probabilities are independent, We can use Multiplicative identity. Thus,
Required probability is 4/10 * 3/9 * 6/8
= 1/10
Thus, Probability that the first 2 of the friends to show up to the movie are friends he has known since kindergarten but the third not is 1/10
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Answer:
✔️2 sets of corresponding angles
<D and <S
<R and <L
✔️2 sets of corresponding sides
DR and SL
RM and LT
Step-by-step explanation:
When two polygons are congruent, it implies that they have the same shape and size. Therefore, their corresponding angles and sides are congruent to each other.
When naming congruent polygons, the arrangement of the vertices are kept in a definite order of arrangement.
Therefore, Given that polygon DRMF is congruent to SLTO, the following angles and sides correspond to each other:
<D corresponds to <S
<R corresponds to <L
<M corresponds to <T
<F corresponds to <O
For the sides, we have:
DR corresponds to SL
RM corresponds to LT
MF corresponds to TO
FD corresponds to OS.
We can select any two out of these sets of corresponding angles and sides as our answer. Thus:
✔️2 sets of corresponding angles
<D and <S
<R and <L
✔️2 sets of corresponding sides
DR and SL
RM and LT
The answer to your question is 2.4
