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.
Answer:
20.7 units
Step-by-step explanation:
The reading is:
-20.7
So, 20.7 units below the water's surface
Hello!!
So the product is when numbers or variables are multiplied together. So if we have 12 * 3/4 then that equals 12/1*3/4=(12*3)/4=36/4=9
So we can see that the product of 12*3/4 is less than 12. We can see this right from the start by noticing that to be at least 12, then 12 would have to be multiplied by at minimum 1 meaning 12*1=12 anything less than 1 would result in a lesser value than 12.
Hope this helps!! Any questions please just ask!! Thank you!!!
Answer:
I don’t know
Step-by-step explanation:
Answer:
Inscribed angle theorem
Step-by-step explanation:
This theorem states that an angle θ inscribed in a circle is half of the central angle 2θ that subtends the same arc on the circle.
In this case, the angle is ∠LMN and the arc is arc LN. Arc LN measures 180°, because segment LN is the diameter of the circle. Then, by the theorem:
∠LMN = (1/2)*arc LN = (1/2)*180° = 90°
