Question

if points c, d, and e are on a line and cd=20 and ce=32, what are the possible values of de? the possible values of de are (type your answer(s) as whole numbers. use a comma to separate answers as needed.)

Explanation:

Step1: Analyze two cases for point D

Case 1: Point D is between C and E. Then \( DE = CE - CD \).
\( DE = 32 - 20 = 12 \)
Case 2: Point D is not between C and E (i.e., E is between C and D). Then \( DE = CE + CD \).
\( DE = 32 + 20 = 52 \)

Answer:

12, 52