Answer: Conjecture: There is no triangle with side lengths N, 2N, and 3N (where N is a positive real number)
Proof:
We prove this by contradiction: Suppose there was an N for which we can construct a triangle with side lengths N, 2N, and 3N. We then apply the triangle inequalities tests. It must hold that:
N + 2N > 3N
3N > 3N
3 > 3
which is False, for any value of N. This means that the original choice of N is not possible. Since the inequality is False for any value of N, there cannot be any triangle with the given side lengths, thus proving our conjecture.
241 + 800 = 1041
247 + 794 = 1041
Answer:
I think 30
Step-by-step explanation:
6.

since

feet. Then 6*4=24 So the answer is C
7. 1200 m/8 cm = C. 1 cm = 150 m
8. A. Since 1 in = 3 feet then 6 inches = 18 feet (6*3=18) and 4 inches = 12 feet (4*3=12) so the dimensions of her room are 16'x12'.
B. A=lxw so 16*12= 216

Hope that helps
Answer:
The lamp would cost $39.36