There is a not so well-known theorem that solves this problem.
The theorem is stated as follows:
"Each angle bisector of a triangle divides the opposite side into segments proportional in length to the adjacent sides" (Coxeter & Greitzer)
This means that for a triangle ABC, where angle A has a bisector AD such that D is on the side BC, then
BD/DC=AB/AC
Here either
BD/DC=6/5=AB/AC, where AB=6.9,
then we solve for AC=AB*5/6=5.75,
or
BD/DC=6/5=AB/AC, where AC=6.9,
then we solve for AB=AC*6/5=8.28
Hence, the longest and shortest possible lengths of the third side are
8.28 and 5.75 units respectively.
Down 5, right 2
If it's within the parentheses with the x, then it moves left/right. left if +, right if -
If it's outside the parentheses, you go up and down. up if +, down if -
Answer: 4.5
Step-by-step explanation:
I hope this helps I haven’t done dot plots since 6th grade which was 2 years ago so I’m not confident in my answer
Your number = X
2X+8=X+12
2X-X=12-8
X=12-8
