9514 1404 393
Answer:
x = 3.6
Step-by-step explanation:
The angle bisector divides the segments proportionally. This means they satisfy ...
bottom segment / side segment = x/6 = (6-x)/4
Multiplying by 12 gives ...
2x = 3(6 -x)
2x = 18 -3x . . . . . eliminate parentheses
5x = 18 . . . . . . . . add 3x
x = 3.6 . . . . . . . . . divide by 5
_____
<em>Alternate solution</em>
I like to try to work these mentally. The total of side lengths is 10, so the total base length (6) is 6/10 = 0.6 times that. Then x will be 0.6 times the left side length: 0.6·6 = 3.6 = x.
Answer:
It is a solution
Step-by-step explanation:
Given
![2x - \frac{y}{2} = -8](https://tex.z-dn.net/?f=2x%20-%20%5Cfrac%7By%7D%7B2%7D%20%3D%20-8)
Required
Determine if
is a solution
implies that:
![x = 3](https://tex.z-dn.net/?f=x%20%3D%203)
![y = 28](https://tex.z-dn.net/?f=y%20%3D%2028)
To check if it is a solution, we simply substitute values for x and y in the given equation;
![2x - \frac{y}{2} = -8](https://tex.z-dn.net/?f=2x%20-%20%5Cfrac%7By%7D%7B2%7D%20%3D%20-8)
![2(3) - \frac{28}{2} = -8](https://tex.z-dn.net/?f=2%283%29%20-%20%5Cfrac%7B28%7D%7B2%7D%20%3D%20-8)
![6 - 14= -8](https://tex.z-dn.net/?f=6%20-%2014%3D%20-8)
![-8= -8](https://tex.z-dn.net/?f=-8%3D%20-8)
Since both sides of the equation are equal; then, Yes, it is a solution