Answer:
y = 15°
∠A = 78°
∠B = 68°
∠BAC = 34°
Step-by-step explanation:
∠BAC = 180° - 146° = 34°
the sum of the interior angles of any triangle is 180°
5y + 3 + 4y + 8 + 34° = 180°
combine like terms:
9y + 45° = 180°
subtract 45° from each side of the equation:
9y = 135°
divide both sides by 9:
y = 15°
∠A = 5(15) + 3 = 78°
∠B = 4(15) + 8 = 68°
The given geometric series as shown in the question is seen to; Be converging with its' sum as 81
<h3>How to identify a converging or diverging series?</h3>
We are given the geometric series;
27 + 18 + 12 + 8 + ...
Now, we see that;
First term; a₀ = 27
Second Term; a₁ = 2(27/3)
Third term; a₂ = 2²(27/3²)
Fourth term; a₃ = 2³(27/3³)
Thus, the formula is;
2ⁿ(27/3ⁿ)
Applying limits at infinity gives;
2^(∞) * (27/3^(∞)) = 0
Since the terms of the series tend to zero, we can affirm that the series converges.
The sum of an infinite converging series is:
S_n = a/(1 - r)
S_n = 27/(1 - (2/3)
S_n = 81
Read more about converging or diverging series at; brainly.com/question/15415793
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The two bottom functions are increasing.
Increasing means they are going in an upward direction from left to right.
Answer:
thx lm.ao ill friend you
Step-by-step explanation:
