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2 years ago

I need the answer and the explanation/ angle name pls help this is a quiz grade

Mathematics

1 answer:

Sever21 [200]2 years ago

8 0

Step-by-step explanation:

The answer is :-

x and w : Dr. Alpha was meeting up with this patient in the library.

Know why:-

Because x and w are Vertically Opposite Angles! And they are always same!

$\tt{Hope \ it \ Helps \ :D}$

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Use parallelogram JKLM to find the length of JK.

shepuryov [24]

Opposite sides are congruent in a parallelogram.

so,

JK will be congruent with ML

and

JM will be congruent with KL

hope this helps

5 0

2 years ago

Read 2 more answers

4c-6 over 3 equals 8

elena-s [515]

(4x-6)/3=8
4x-6=24
4x=30
x=7.5 or x=30/4

4 0

2 years ago

Seorang ayah memberikan sebuah tantangan kepada anaknya untuk i menghitung jumlah uang koin yang diperlukan untuk memenuhi papan

VashaNatasha [74]

The total number of coins required to fill all the $64$ boxes are $\boxed{\bf 18446744073709551615}$ .

Further explanation:

In a chessboard there are $64$ boxes.

The objective is to determine the total number of coins required to fill the $64$ boxes in chessboard.

In the question it is given that in the first box there is $1$ coin, in the second box there are $2$ coins, in the third box there are $8$ coins and it continues so on.

A sequence is formed for the number of coins in different boxes.

The sequence formed for the number of coins in different boxes is as follows:

$\boxed{1,2,4,8,...}$

The above sequence can also be represented as shown below,

$\boxed{2^{0},2^{1},2^{2},2^{3},...}$

It is observed that the above sequence is a geometric sequence.

A geometric sequence is a sequence in which the common ratio between each successive term and the previous term are equal.

The common ratio $(r)$ for the sequence is calculated as follows:

$\begin{aligned}r&=\dfrac{2^{1}}{2^{0}}\\&=2\end{aligned}$

The $n^{th}$ term of a geometric sequence is expressed as follows:

$\boxed{a_{n}=ar^{n-1}}$

In the above equation $a$ is the first term of the sequence and $r$ is the common ratio.

The value of $a$ and $r$ is as follows:

$\boxed{\begin{aligned}a&=1\\r&=2\end{aligned}}$

Since, the total number of boxes are $64$ so, the total number of terms in the sequence is $64$ .

To obtain the number of coins which are required to fill the $64$ boxes we need to find the sum of sequence formed as above.

The sum of $n$ terms of a geometric sequence is calculated as follows:

$\boxed{S_{n}=a\left(\dfrac{r^{n}-1}{r-1}\right)}$

To obtain the sum of the sequence substitute $64$ for $n$ , $1$ for $a$ and $2$ for $r$ in the above equation.

$\begin{aligned}S_{n}&=1\left(\dfrac{2^{64}-1}{2-1}\right)\\&=\dfrac{18446744073709551616-1}{1}\\&=18446744073709551615\end{aligned}$

Therefore, the total number of coins required to fill all the $64$ boxes are $\boxed{\bf 18446744073709551615}$ .

Learn more:

1. A problem on greatest integer function brainly.com/question/8243712

2. A problem to find radius and center of circle brainly.com/question/9510228

3. A problem to determine intercepts of a line brainly.com/question/1332667

Answer details:

Grade: High school

Subject: Mathematics

Chapter: Sequence

Keywords: Series, sequence, logic, groups, next term, successive term, mathematics, critical thinking, numbers, addition, subtraction, pattern, rule., geometric sequence, common ratio, nth term.

3 0

2 years ago

You pay 3.5% annual simple interest for 12 years on a loan, and you pay $1,512 in interest. How much is the principal?

Anika [276]

A = Pe^rt
Amount of interest paid = Principal*e^ (rate*time)
(The rate must be in decimal form)
3.15% / 100 = .0315

1,512 = P[e^(.0315*12)]
1,512 / e^(.0315*12) = P
1036.06 = P
$1036.06 was the Principal
** I left that value unrounded to the hundreds place because one doesn’t round with money. :)

Good luck!

4 0

2 years ago

Hellllllllp meeee please this is due tommorow please help

8090 [49]

Hi which letter are we supposed to do?

8 0

2 years ago

Read 2 more answers