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mr Goodwill [35]
4 years ago
14

when 3 is divided by the sum of a certain number and 8 is the result is the same as divinding 2 by the sum of that number and 3

find the number ​
Mathematics
1 answer:
sergey [27]4 years ago
4 0

Answer:

The answer is 7.

Step-by-step explanation:

3/ (x + 8) = 2/ (x + 3)

*Cross multiply

3 (x + 3) = 2 (x + 8)

3x + 9 = 2x + 16

3x - 2x = 16 - 9

x = 7

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Find the sum of this arithmetic series.<br> | 26 + 24.5 + 23 + 21.5 + ... - 17.5
emmainna [20.7K]

Answer:

127.5

Step-by-step explanation:

The given series is 26 + 24.5 + 23 + 21.5 + ... - 17.5

The first term of this series is a=26

The common difference is d=24.5-26=-1.5

The last term of the series is -17.5

The nth term is given by:

u_n=a+d(n-1)

26+-1.5(n-1)=-17.5

-1.5n=-17.5-26-1.5

-1.5n=-45

n=30

The sum of the series:

S_{n}=\frac{n}{2}(a+l)

S_{30}=\frac{30}{2}(26+-17.5)

S_{30}=127.5

8 0
3 years ago
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SashulF [63]
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3 years ago
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Answer:

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What is the value of hin the figure below? In this diagram, ABAD ~ ACBD.
VashaNatasha [74]

Answer:

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Step-by-step explanation:

The ratio of the long side to the short side is the same in similar triangles. The long side of triangle BAD is AD, which has length 20-4 = 16.

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<em>Comment on this geometry</em>

BD = √(AD·DC) is called the "geometric mean" of the segments AD and DC. This geometry has some other geometric mean relationships as well:

BC = √(AC·DC)

BA = √(AC·AD)

8 0
3 years ago
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