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Nesterboy [21]
3 years ago
5

The lowest common multiple of 48, 180 and m is 2160.

Mathematics
1 answer:
iren2701 [21]3 years ago
4 0

Answer: The least common multiple 2160.

Step-by-step explanation:

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Can someone help me?
Oxana [17]

Answer:

Step-by-step explanation:

To start calculating, we first need to make some proof.

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Now, looking only to ΔBDE and ΔCDF, we can see that they are similar, because the two of its angles are congruent:

∠BED=∠CFD

∠DBE=∠DCF

To make it easier to visualize which are the corresponding vertexes, we can draw them like this:

And we need to remember that BC is 24, so:

BD+CD=24

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r=\frac{CF}{DE} =\frac{7.5}{4.5} =\frac{5}{3}

This ratio is the same for the other corresponding sides, so we can apply that for BD and CD:

r=\frac{CD}{BD} =\frac{5}{3}\\&#10; \frac{BD}{CD}=\frac{3}{5}  \\\\&#10;BD=\frac{3}{5} Cd

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2 years ago
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