Answer :
Final answer:
The length of EF is calculated with the given ratios and total length of the line segment CF. We find out that each part of the ratio equals 4 units, thus length of EF, represented by 2 parts, is 8 units.
Explanation:
This is a simple question about ratios in geometry. In this case, the ratio of CD:DE:EF is given to be 4:5:2, and the total length of the line segment, CF, is 44 units.
The ratio means we divide the total length into 11 parts (4+5+2), where each part is equal to 4 units (44/11). From this, we know that EF would be equivalent to 2 parts ratio, which is 2 * 4 or 8 units.
When dealing with ratios, it's always helpful to visualize them as parts that make up the whole. In this example, the line segment CF is the 'whole', while CD, DE, and EF are the 'parts'. By knowing the total length of CF and the ratios of the individual segments, we are able to compute the lengths of the individual segments.
It is crucial to remember that, in this context, the ratios represent the number of equal segments or 'parts' that make up the total length. In our case, CD:DE:EF as 4:5:2 means that CD is 4 parts, DE is 5, and EF is 2 parts, out of a total of 11 parts.
This fundamental understanding of ratios greatly simplifies the problem and allows us to calculate the lengths of individual segments very quickly.
Learn more about Ratios in Geometry here:
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