Answer:
The correct option is A. x – 1 < n < 3x + 5
Step-by-step explanation:
In a triangle sum of any two sides is always greater than the third side.
Now, the sides of the triangle are given to be :
2x + 2, x + 3 , n
Now, first take 2x + 2 and x + 3 as two sides and the side of length n as third side.
By using the property that sum of two sides is always greater than the third side in a triangle.
⇒ 2x + 2 + x + 3 > n
⇒ 3x + 5 > n ......(1)
Now, take n and x + 3 as two sides and the side of length 2x + 2 as the third side of triangle.
So, by the property, we have :
n + x + 3 > 2x + 2
⇒ n > x - 1 ...........(2)
From both the equations (1) and (2) , We get :
x – 1 < n < 3x + 5
Therefore, The correct option is A. x – 1 < n < 3x + 5
Answer:
D
Step-by-step explanation:
The system of equations that could be used to determine the number of small cars rented and the number of large cars rented is;
x + y = 10
x + y = 105x + 7y = 66
<h3>Simultaneous equation</h3>
- Small car = 5 people
- Large car = 7 people
- Total cars = 10
- Total number of people = 66
Let
Number of small cars rented = x
Number of large cars rented = y
x + y = 10
x + y = 105x + 7y = 66
Learn more about simultaneous equation:
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Answer:
Most insurance companies say a reasonable amount for life insurance is six to 10 times the amount of annual salary. Another way to calculate the amount of life insurance needed is to multiply your annual salary by the number of years left until retirement.
Step-by-step explanation: