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Kaylis [27]
3 years ago
13

Multiply and simplify

%7D%20" id="TexFormula1" title=" \frac{1}{?8} \times \frac{2}{?5} " alt=" \frac{1}{?8} \times \frac{2}{?5} " align="absmiddle" class="latex-formula">
Mathematics
1 answer:
denis-greek [22]3 years ago
8 0
\frac{1}{8} \times \frac{2}{5} = \frac{1 \times 2}{8 \times 5} = \frac{2}{40} = \frac{2 \div 2}{40 \div 2} = \frac{1}{20}
The answer is
\frac{1}{20}
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3 years ago
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8. In right triangle LMN shown below, altitude MK is drawn to LN from M. IF LM = 12 and LK =10, then
Elena-2011 [213]

The length of the KN is 4.4

Step-by-step explanation:

We know from Pythagoras theorem  

In a right angle ΔLMN  

Base² + perpendicular² = hypotenuse ²

From the properties of triangle we also know that altitudes are ⊥ on the sides they fall.

Hence ∠LKM = ∠NKM = 90 °

Given values-

LM=12

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⇒LN= LK + KN

⇒LN= 10+x        eq 1

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⇒LK²+MK²= LM²

⇒MK²= 12²-10²

⇒MK²= 44           eq 2

Now in Δ MKN

⇒MK²+ KN²= MN²

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In Δ LMN

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Using the values of MN² and LN² from the previous equations

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statuscvo [17]

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18
mr_godi [17]

The correct answer is D.

Have a good day! :)

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