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sesenic [268]
3 years ago
12

Angles S and T are corresponding

Mathematics
1 answer:
g100num [7]3 years ago
6 0
6x = 3x + 12 so 3x = 12 then x = 4
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The mean of six numbers is 41. If one number is removed, the mean of the five numbers is 46. Find the unknown number.
klasskru [66]
Let n be the sum of all 6 numbers:

In the 1st case n/6 = 41 ==> n =246

in the 2nd case n'/5 = 46===> n' =230, the unknown number is n-n' =246-230

= 16
5 0
3 years ago
What’s 150 divided by 180 step by step?
liubo4ka [24]

150 can't go into 180 equally, so the answer is 1.2


8 0
3 years ago
Determine if the following infinite series converges or diverges
Mandarinka [93]

Using limits, it is found that the infinite sequence converges, as the limit does not go to infinity.

<h3>How do we verify if a sequence converges of diverges?</h3>

Suppose an infinity sequence defined by:

\sum_{k = 0}^{\infty} f(k)

Then we have to calculate the following limit:

\lim_{k \rightarrow \infty} f(k)

If the <u>limit goes to infinity</u>, the sequence diverges, otherwise it converges.

In this problem, the function that defines the sequence is:

f(k) = \frac{k^3}{k^4 + 10}

Hence the limit is:

\lim_{k \rightarrow \infty} f(k) = \lim_{k \rightarrow \infty} \frac{k^3}{k^4 + 10} = \lim_{k \rightarrow \infty} \frac{k^3}{k^4} = \lim_{k \rightarrow \infty} \frac{1}{k} = \frac{1}{\infty} = 0

Hence, the infinite sequence converges, as the limit does not go to infinity.

More can be learned about convergent sequences at brainly.com/question/6635869

#SPJ1

6 0
2 years ago
Read 2 more answers
-6(2x + 4) = 12 what is the answer <br>​
katrin2010 [14]
The answer to your question is -3 !!
3 0
3 years ago
Read 2 more answers
HELP ASAP PLZ PLZ PLZ I GIVE BRAINLIEST
Yuki888 [10]

Answer:

12

Step-by-step explanation:

We can see that the base TA is 4, and the second base RS is 2. We can see that the height is 4. The area of a trapezoid is:

A=\frac{h(b_1+b_2)}{2}

Using this, we can substitute, and get:

A=\frac{4\cdot(2+4)}{2} = \frac{24}{2} = 12

Hope it helps!!

5 0
3 years ago
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