9 inches long
9 divided by 10 is .9
multiply it by 10 (to get the length of the purple ribbon) and the answer is 9
Answer:
Step-by-step explanation:
Seperate it into two pieces;
Piece 1, base of 2, height of 9
Piece 2, base of 8, height of 5.
Area of Piece 1:
A = bh
A = 2 (9) = 18
Area of Piece 2:
A = bh
A = 8 (5) = 40
Add the areas of both pieces:
18 + 40 = 58 m2
Answer: This is true because everything in the first equation was multiplied equally to get to the second equation. Every part was multiplied by three. The first equation is x-7=3 and the second can be seen as 3(x-7=3). The three will not affect x seeing that the entire equation had the same thing done to it.
We know that
When two chords intersect each other inside a circle, the products of their segments are equal (Intersecting Chord Theorem)
so
8*18=x*6--------> x=8*18/6-----> x=24
the answer is
24
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.