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3 years ago

Find the value of x.

Mathematics

2 answers:

zubka84 [21]3 years ago

8 0

Look at the image.

So they are supplementary angles.

$x + 146 = 180 \\ \\ x = 34$

Mars2501 [29]3 years ago

7 0

Answer:

x = 34

Step-by-step explanation:

x and 146 are supplementary angles so they add to 180 degrees

x+146 = 180

Subtract 146 from each side

x+146-146= 180-146

x =34

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meriva

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3 years ago

David earns $8.59 an hour. His benefits package is equal to 18 percent of his hourly wages. When you include the value of his be

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A]
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3 years ago

Determine whether the sequence converges or diverges. If it converges, give the limit.

vaieri [72.5K]

Answer:

The given series converges and $\lim_{n \to \infty} a_n =0$

Step-by-step explanation:

Given is 108, -18, 3,...

It is an alternate series. An alternate series is convergent if:

1. The series is decreasing.

2. If the last term (n-th term) of series converges to 0.

<u>Since each next term is less than its preceding term, so it is decreasing.</u>

First term, a = 108

Second term = -18

Common ratio, r = -18/108 = -1/6

General term, aₙ = a*rⁿ = 108*(-1/6)ⁿ

<u>When n increases to infinity, the exponent term will decreases to zero, and last term (n-th term) will converge to 0 as well.</u>

Hence, the given series converges.

Now limit will be: $\lim_{n \to \infty} a_n$

$\lim_{n \to \infty} 108*(-1/6)^n \\= 108*(-1/6)^\infty \\= 108*(1/\infty) \\= 108*0 \\= 0$

Hence, $\lim_{n \to \infty} a_n =0$

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3 years ago