The value of n is 12. and m is 6root5
We have given the diagram,
The measurement of m,
n = 12
According to the altitude theorem
<h3>
What is the altitude theorem?</h3>
The right triangle altitude theorem or geometric mean theorem is a result in elementary geometry that describes a relation between the altitude on the hypotenuse in a right triangle and the two-line segments it creates on the hypotenuse.
24/n = n/6
The Cross multiply
24 * 6 = n²
144 = n²
n² = 144
n = √144
n = 12
Hence the value of n is 12.
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What are they asking for?
Incase you need to put it on a graph
<h3>
Answer: |-34|, |-25|, |0.5|, |0.35|</h3>
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Explanation:
The absolute value of a negative number is the positive version of that number
|-25| = 25
|-34| = 34
The absolute value of a positive number is that exact same number
|0.5| = 0.5
|0.35| = 0.35
Absolute value represents the distance a number is from 0 on the number line. The distance is never negative, which is why |-25| = 25 for instance.
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After simplifying each absolute value, we get this list {25, 0.5, 34, 0.35}
That sorts from greatest to least to get {34, 25, 0.5, 0.35}
This means the answer is |-34|, |-25|, |0.5|, |0.35|
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note: it might help to think of 0.5 as 0.50, so you can see that 0.50 is larger than 0.35
