9514 1404 393
Answer:
m∠B < m∠A < m∠C
Step-by-step explanation:
We can work with the triangle inequality to find that the side measures form a triangle when n > 5/4. For the given value of n ≥ 4, we don't need to be concerned with whether a triangle is formed or not.
For n = 4, the side lengths are ...
a = 2(4) = 8
b = (4) +3 = 7
c = 3(4) -2 = 10
The longest side is opposite the largest angle, so the ordering of angles is ...
m∠B < m∠A < m∠C
_____
The triangle inequality requires all of these inequalities be true:
- a+b > c ⇒ 3n+3 > 3n-2 . . . always true
- b+c > a ⇒ 4n+1 > 2n ⇒ n > -1/2
- c+a > b ⇒ 5n-2 > n+3 ⇒ n > 5/4
That will be the case for n > 5/4. The attached graph shows the sides and angles keep the same order for n > 3.
Well on the second picture your answer is A
2. is B
Answer: B: 41, C: 68, D: 71.
Step-by-step explanation: A triangle's angles have to add up to 180 degrees for it to be considered a triangle. If you were to add up 71, 41, and 68, then it would equal 180 degrees. This means that out of all the other measurements, these are the three possible angle measures that can be used to make a triangle.
(I figured this out by taking 3 random sides from the list there and adding them up to see if they equal 180.)
Answer:
A.
Step-by-step explanation:
i just took it
12 because 7x10=70+7=77+7=84