All of the x values are the same so it is not moving left or right.
The y values are changing by being 2 less than the original.
If you subtract 2 from each y value you get the new set of ordered pairs.
It is moving 2 units down
Letter A
Answer:
2.8 feet
Step-by-step explanation:
tan(29)=x/5
5tan(29)=x
2.8=x
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.
