Answer :
Final answer:
The length of the segment EF is determined to be 18 units based on the given ratio of 1:3:3 and the total length of line segment CF being 42 units.
Explanation:
The question gives a line segment CF broken into three parts: CD, DE and EF. Further, it provides the ratio of these three partitions as 1:3:3 respectively and gives the total length of the segment CF as 42 units. We can find the length of each part by dividing the total length by the sum of the ratio's components (which is 1+3+3=7). Therefore, 1 part, in this case, is equal to 42/7=6 units.
With this, we can now find the length of the segment EF. Since EF equals to 3 parts according to the given ratio, we simply multiply 6 units (1 part) by 3 parts to get 18 units. So, the length of the segment EF is 18 units.
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