The length of Segment DF is calculated by subtracting the length of Segment CD from Segment CF, which gives an exact length of approximately 8.052 inches. Rounded to the nearest tenth, the length of Segment DF is 8.1 inches, which does not match any of the options provided.
The question is asking for the length of Segment DF. To solve this, we observe that if Segment CD is 11 inches and Segment CF is 11 times the square root of 3 inches, then Segment DF, which is the difference between CF and CD, would be calculated as follows:
CF - CD = DF
11 × √3 - 11 = DF
≈ (11 × 1.732) - 11 = DF
≈ 19.052 - 11 = DF
≈ 8.052 inches = DF (Exact value)
When rounded to the nearest tenth, DF would be approximately 8.1 inches.
Therefore, none of the options given match the correct value for Segment DF.
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