Problem

If points C,D, and E are on a line and CD=20 and CE=32, what are the possible values of DE ?

Answer

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Answer

Final Answer: 12

Steps

Step 1 ：Given that points C,D, and E are on a line, with CD=20 and CE=32.

Step 2 ：There are two possible scenarios: 1. D is between C and E. In this case, DE=CE−CD. 2. E is between C and D. In this case, DE=CD−CE.

Step 3 ：Calculate the values of DE for both scenarios.

Step 4 ：For the first scenario, DE=CE−CD=32−20=12.

Step 5 ：For the second scenario, DE=CD−CE=20−32=−12.

Step 6 ：Since distance cannot be negative, the result of the second scenario is not possible.

Step 7 ：Thus, the only possible value for DE is 12.

Step 8 ：Final Answer: 12

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