Answer:
Yes, without using the distributive property, we get the value for the given expression 2(x - 3) ≤ 10 as x ≤ 8
Step-by-step explanation:
Here, the given expression is:
2(x - 3) ≤ 10
Yes, the given expression can be solved without using the DISTRIBUTIVE Property
Here, consider the given expression:
2(x - 3) ≤ 10
Now, divide the inequality by 2 on both sides, we get:
Now adding (+3) on both the sides, we get:
(x - 3) ≤ 5 ⇒ (x - 3 + 3 ) ≤ 5 + 3
or, x ≤ 8
Hence, without using the distributive property, we get the value of x ≤ 8 for the given expression 2(x - 3) ≤ 10
Answer:
D. 5
Step-by-step explanation:
Mean: (50+60)/2
110/2
55
Margin of error:
60 - 55
5
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.
