3/4 is the simplified version of 9/12
Answer:
Step-by-step explanation:
11x-3+5x-9=180
16x-12=180
16x=192
x=12
<pst=129
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.
Answer:
rate=55 percent
Step-by-step explanation:
SI=PRT
p=90
r=?
t=2
si=99
R=SI÷PT
R=99÷90×2
r=99÷180=0.55
r=0.55×100
R=55%
25 mg. = 2.5 cg.
25 mg. is less than 25 cg.