Answer:
The answer of this question is 50
Let us evaluate each pair of expressions one at a time.
8. (n²+4) - n² and 4n.
(n²+4) - n² = n²+ 4 - n² = 4 which is not equal to 4n.
NOT EQUIVALENT
9. 3x + 5 and 2(x + 3)
2(x + 3) = 2x + 6 which is not equal to 3x + 5.
NOT EQUIVALENT
10. 15 - 6x and 15(1 - 6x)
15(1 - 6x) = 15 - 90x which is not equal to 15 - 6x
NOT EQUVALENT
11. (y + y + 2 + y) + 3y and 6y + 2
(y +y +2 + y) + 3y = y+y+y +2 + 3y = 3y + 2 + 3y = 6y + 2.
It matches the other expression.
EQUIVALENT
12. 8y - 3 + 10y and 3(6 - 1)
8y - 3 + 10y = 8y + 10y - 3 = 18y - 3
3(6 - 1) = 3(5) = 15
The two expressions do not match.
NOT EQUIVALENT.
Answer: Only the expressions in number 11 are equivalent.
C alternate exterior angles converse theorem
When two lines are parallel the alternate exterior angles are congruent
$281 = 5%
The total amount would be $5,620
Answer:
7/20
Step-by-step explanation:
Seventh grade: Total = 3 + 7 = 10
Number of boys = 7 boys
Probability of a boy being picked = 7/10
Eighth grade: Total 5 + 5 = 10
Number of boys = 5
Probability 5/10 = 1/2
The probability of the correct outcome = 7/10 * 1/2 = 7 / 20
Answer: 7 / 20