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Nookie1986 [14]
3 years ago
9

4/9 divided by what equals 12

Mathematics
2 answers:
NeX [460]3 years ago
7 0
(4/9)/x = 12
(4/9) = 12x
Divide both sides by 12
(1/27) =x
skad [1K]3 years ago
7 0

Answer:

The value of the unknown number is \frac{1}{27}.

Step-by-step explanation:

It is given that if 4/9 is divided by an unknown number then the result is equal to 12.

We need to find the unknown number.

Let the unknown number be x.

\dfrac{\frac{4}{9}}{x}=12

It can be rewritten as

\dfrac{4}{9x}=12

Multiply both sides by 9x.

\dfrac{4}{9x}\times 9x=12\times 9x

4=108x

Divide both sides by 108.

\frac{4}{108}=x

\frac{1}{27}=x

Therefore, the value of the unknown number is \frac{1}{27}.

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Answer:

The m∠ U is 72°.

Step-by-step explanation:

Given:

\angle S = 90\\\angle T = 2x\\\angle U = x\\\angle V = 2x\\\angle W = 90\\

To find :

\angle U = x = ?

Solution:

The sum of the measures of the interior angles of a polygon with 'n' sides is given as

\textrm{sum of the measures of angle of a polygon with 'n' sides} = (n - 1)\times 180

Here we have n = 5 on substituting the values we get

\angle S +\angle T + \angle U +\angle V + \angle W = (5 -2)\times 180\\90 + 2x + x + 2x + 90 = 3\times 180\\5x + 180 = 540\\5x = 540-180\\5x = 360\\x = \frac{360}{5}\\x = 72

Therefore,

m∠ U is 72°.

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