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svp [43]
3 years ago
8

Similar right triangles Solve for x include a explanation

Mathematics
1 answer:
KATRIN_1 [288]3 years ago
4 0

Answer:

x = 12

Step-by-step explanation:

The figure in the question was split into the triangles in the attachment to the solution.

Now applying the principle of similar triangles, we have:

\frac{16}{x} = \frac{x}{9}

cross-multiplying, we have:

x^{2} = 16*9 = 144

solving for x,

x = 12

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Step-by-step explanation:

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3 years ago
How many numbers greater than 10 and smaller than 25 with distinct digits can we make by using two of the digits 2, 0, 1, and 8
saul85 [17]

Answer:

Only four numbers can be formed

Step-by-step explanation:

We are to make numbers greater than 10 and less than 25

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11,12,.....24

Of these the conditions are only 2, 0, 1 , 8 should be used.

First digit cannot be 0 or  8 because we want two digit numbers between 10 and 25

So first digit can be either 1 or 2

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5 0
3 years ago
A chef is going to use a mixture of two brands of Italian dressing. The first brand contains 7% vinegar, and the second brand co
Lina20 [59]

Answer: There is 162 ml of first brand and 108 ml of second brand.

Step-by-step explanation:

Since we have given that

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Percentage of vinegar that the second brand contains = 12%

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We will use "Mixture and Allegation":

First brand                  Second brand

     7%                                12%

                       9%

--------------------------------------------------------

12%-9%             :                9%-7%

 3%                   :                    2%

So, ratio of first brand to second brand in a mixture is 3:2.

So, Amount of first brand she should use is given by

\dfrac{3}{5}\times 270\\\\=162\ ml

Amount of second brand she should use is given by

\dfrac{2}{5}\times 270\\\\=108\ ml

Hence, there is 162 ml of first brand and 108 ml of second brand.

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3 years ago
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