The triangle cannot be made.
Solution:
Given sides of a triangle are 8 ft, 20 ft and 8 ft.
<u>To determine if the triangle can be made:</u>
Let us first define the triangle inequality theorem.
Triangle inequality theorem:
The sum of the lengths of the any two sides of a triangle is greater than the length of the third side.
Using this theorem, we can determine if the triangle can be made or not.
8 ft + 20 ft = 28 ft > 8 ft
20 ft + 8 ft = 28 ft > 8 ft
8 ft + 8 ft = 16 ft < 20 ft
Here the sum of the two sides is less than 20 ft.
This is not satisfy the triangle inequality theorem.
Therefore, the triangle cannot be made.
Answer:
40/100 = .4 = 40%
Step-by-step explanation:
Answer:
The solution set would be all real numbers
Step-by-step explanation:
Remember that you should pass from one side to the other the terms which are similar, that is to say x with x and numbers with numbers. In doing so you must be sure to change the sign of the term if it is passed from one side to the other.
In this case it would be:
4x + 7x + 1 < 11x + 2
(Four plus seven is 11)
11x + 1 < 11x + 2
We can see that x is eliminated, because we change the sign on 11 to be -11:
11x - 11x + 1 < 2
1 < 2
This result means that no matter which value we give to x, the inequality will be always true. For that reason the answer is all real numbers
