It would show the average time spent on the homework.
And the average distance between the mean and the lowest and highest numbers in the data.
If the 4th lies opposite the 11th, then you know the 3rd lies opposite the 10th, the 2nd opposite the 9th, and the 1st opposite the 8th; meanwhile, in the reverse direction you'd find that the 5th lies opposite the 12th, the 6th opposite the 13th, and the 7th opposite the 14th. Move up one more bead and you're back at the 1st, which you already know lies opposite the 8th. Therefore there are 14 total beads.
In the figure, CD = EF and AB = CE
<u>To prove that AB = DF:</u>
Step 1:
Given CD = EF, so we can substitute EF instead of CD.
CD + DE = EF + DE
by the Substitution Property of Equality.
Here, Option C is the correct answer.
Step 2:
CD + DE = CE and
EF + DE = DF
by Segment Addition.
Here, Option C is the correct answer.
Step 3:
From step 1, CD + DE = EF + DE
From step 2, CE = DF
So, CE = DF by the Transitive Property of Equality.
Here, Option D is the correct answer.
Step 4:
Given AB = CE and CE = DF
⇒ AB = DF
by the Transitive Property of Equality.
Here, Option D is the correct answer.
Hence proved.