Answer:
n = 24
Step-by-step explanation:
From the question,
The formula for the sum of the term in an AP is given as
Sₙ = n(a+L)/2.................. Equation 1
Where Sₙ = sum of the nth term, n = number of term, a = first term, L = last term.
make n the subject of the equation
n = 2Sₙ/(a+L)................. Equation 2
Given: Sₙ = 420, a = 4, L = 31
Substitute these values into equation 2
n = (2×420)/(4+31)
n = (840)/35
n = 24.
Hence, n = 24
Answer:
7. 123
8. 38
9. 68
10. 65
11. 113
12. 52
Step-by-step explanation:
Question:
What is 5n + 6 = -4 + 10n
Steps:
1. Subtract 6 from both sides
- 5n + 6 - 6 = -4 - 6 + 10n
2. Simplify,
3. Then, subtract 10n from both sides
- 5n - 10n = -10 + 10n - 10n
4. Simplify,
5. Then, divide both sides by -5
6. Simplify,
Hope that helped!!
~Serina
Answer:
36°
Step-by-step explanation:
(6x)° + 54° = 90°
(complementary angles)
(6x)° = 90°- 54°
(6x)° = 36°
First you need to distribute the 2 into each equation and then add like terms. the answer is 6x + 8