By applying concepts related to proportionality, we find that the lengths of the line segments CE and ED are 20 centimeters and 5 centimeters. (Correct choice: C)
How to find the two partition of a line segment from total length and ratio
Herein we proceed to calculate the lengths of the line segments by application the definition of proportionality:
CE = r₁ · CD, ED = r₂ · CD
CE = (4/5) · (25 cm), ED = (1/5) · (25 cm)
CE = 20 cm, ED = 5 cm
By applying concepts related to proportionality, we find that the lengths of the line segments CE and ED are 20 centimeters and 5 centimeters. (Correct choice: C)
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