Answer:
<em>0.5 < x < 15.5</em>
Step-by-step explanation:
<u>Triangle Inequality Theorem</u>
Let y and z be two of the side lengths of a triangle. The length of the third side x cannot be any number. It must satisfy all the following restrictions:
x + y > z
x + z > y
y + z > x
Combining the above inequalities, and provided y>z, the third size must satisfy:
y - z < x < y + z
The two side lengths given in the triangle of the figure are y=8.5, z=8.0, thus the possible values of x lie in the interval
8.5 - 8.0 < x < 8.5 + 8.0
0.5 < x < 15.5
The answer is 10w^4. When you multiply the numbers, you add the powers together.
To solve, we must get x by itself. the first step we must take is to remove all of the parentheses. To do this, we must use distribution to multiply 5 by x - 6.
5(x - 6) = 3x - 18 + 2x
5x - 30 = 3x - 18 + 2x
Next, we must add like terms.
5x - 30 = 5x - 18
Finally, we must get x by itself. to do this, we must subtract 5x from both sides.
5x - 30 - 5x = 5x - 18 - 5x
Then, we add like terms again.
-30 = -18
Because this is a false statement, the equation is a contradiction.
