Answer:
-9/11
Step-by-step explanation:
The slope of the line is given by
m = (y2-y1)/(x2-x1)
= (9-0)/(-3-8)
= 9/-11
= -9/11
Interest formula: A=P(1 + r)^t
A = 10000(1 + 0.1)^5
A = 10000(1.01)^5
A = 10000(1.0510100501)
A = $10,510.10
multiply the top equation by 3, multiply the bottom equation by 4, then subtract the bottom equation from the top equation
multiply the top equation by 3, multiply the bottom equation by -2, then add the equations
The 21st term of the given arithmetic sequence is 83. The nth term of an arithmetic sequence is applied to find the required value where n = 21.
<h3>What is the nth term of an arithmetic series?</h3>
The nth term of an arithmetic sequence is calculated by the formula
aₙ = a + (n - 1) · d
Here the first term is 'a' and the common difference is 'd'.
<h3>Calculation:</h3>
The given sequence is an arithmetic sequence.
3, 7, 11, 15, 19, ....
So, the first term in the sequence is a = 3 and the common difference between the terms of the given sequence is d = 7 - 3 = 4.
Thus, the required 21st term in the sequence is
a₂₁ = 3 + (21 - 1) × 4
⇒ a₂₁ = 3 + 20 × 4
⇒ a₂₁ = 3 + 80
∴ a₂₁ = 83
So, the 21st term in the given arithmetic sequence is 83.
Learn more about the arithmetic sequence here:
brainly.com/question/6561461
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Answer:
∠LMN = 167°
Step-by-step explanation:
∠LMT = 23°
∠TMN = 144°
∠LMN = ∠LMT + ∠TMN
∠LMN = 23° + 144°
∠LMN = 167°
