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3 years ago

Quadrilateral HIJK is similar to quadrilateral LMNO. Find the measure of side OL.

Mathematics

1 answer:

nataly862011 [7]3 years ago

5 0

Answer:

OL = 128.2

Step-by-step explanation:

If the two quadrilaterals are similar, the ratio of their corresponding sides are equal;

Thus;

KJ/KH = NO/OL

19/42 = 58/OL

OL = (42 * 58)/19

OL = 128.2

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to arrive at 2000 liters of 60% saline solution the attendant has to mix a 90% and a 40% saline solution. How many liters of eac

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Answer:

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Step-by-step explanation:

Given:

At 2000 liters of 60% saline solution the attendant has to mix a 90% and a 40% saline solution.

Now, to find the number of liters of saline solution each should be used.

Let the liters of 90% saline solution mix be $x.$

And let the liters of 40% saline solution mix be $y.$

So, the total number of liters:

$x+y=2000.$

$y=2000-x\ \ \ ....(1)$

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$\frac{90}{100}\times x+\frac{40}{100}\times y=\frac{60}{100}\times 2000$

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Substituting the value of $y$ from equation (1) we get:

$0.9x+0.4(2000-x)=1200$

$0.9x+800-0.4x=1200$

$0.5x+800=1200$

Subtracting both sides by 800 we get:

$0.5x=400$

Dividing both sides by 0.5 we get:

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$y=2000-800$

$y=1200.$

Thus, the liters of 40% saline solution = 1200.

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