Answer:
- Commutative Property of Addition.-
- 2 + 3 = 3 + 2
- Commutative Property of Multiplication.- ex. 5 × 7 = 7 × 5
- Associative Property of Addition.- ex.(2 + 3) + 6 = 2 + (3 + 6)
- Associative Property of Multiplication.- ex. (7 × 3) × 10 = 7 × (3 × 10)
- Distributive Properties of Addition Over Multiplication- ex. 2 × (2 + 8) = 2 × 2 + 2 × 8
- (2 + 8) × 10 = 2 × 10 + 8 × 10
- The reciprocal of a non zero real number a is 1/a.- ex. reciprocal of 5 is 1/5 and 5 × (1/5) = 1
Step-by-step explanation:
Answer:
1. congruent
2. congruent
3. not congruent
4. not congruent
5. congruent
6. congruent
7. congruent
8. congruent
9. congruent
Step-by-step explanation:
Step-by-step explanation:
With each draw, the probability of selecting a green marble is 2/3 and the probability of selecting a yellow marble is 1/3.
To pick two of the the same color, they can either pick green twice or yellow twice.
P = (2/3)(2/3) + (1/3)(1/3)
P = 5/9
To pick two different colors, they can either pick green first then yellow, or yellow first then green.
P = (2/3)(1/3) + (1/3)(2/3)
P = 4/9
Expected value for Derek is:
D = (5/9)(-1) + (4/9)(1)
D = -1/9
The expected value for Mia is:
M = (5/9)(1) + (4/9)(-1)
M = 1/9
The difference between the 6th term and the 9th term of the sequence is 135
<h3>How to determine the difference</h3>
Given that the nth term is;
3n² + 11
For the 6th term, the value of n is 6
Let's solve for the 6th term
= 3( 6)^2 + 11
= 3 × 36 + 11
= 108 + 11
= 119
For the 9th term, n = 9
= 3 (9)^2 + 11
= 3( 81) + 11
= 243 + 11
= 254
The difference between the 6th and 9th term
= 254 - 119
= 135
Thus, the difference between the 6th term and the 9th term of the sequence is 135
Learn more about algebraic expressions here:
brainly.com/question/4344214
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Answer:
x= 1
QS = 10 cm
QRS = 40cm
Step-by-step explanation:
4x + 1 = 5x
x= 1 cm
QS = 4x + 1 + 5x
= 9x + 1
= 9 + 1
= 10cm
QRS perimeter
QS + RQ + RS but ( RQ = RS)
= 10 + 15 + 15
= 40cm
