Answer:
x = 4
-4x+21 => 5
Explanation:
The given triangle in the picture is isosceles triangle which means that two sides of the triangle are equal.
So,
![Side\ 1: -4x+21\\Side\ 2: -4x+21\\Side\ 3: 6\\Perimeter = 16](https://img.qammunity.org/2021/formulas/mathematics/high-school/jfemh40jrqi8vmi4k0b9x7sbr0rfvploe4.png)
Now
Putting all the values in equation for perimeter
![Side\ 1+Side\ 2+Side\ 3 = 16\\-4x+21 -4x+21 + 6 =16\\-8x +48 = 16\\-8x = 16-48\\-8x = -32\\(-8x)/(-8) = (-32)/(-8)\\x = 4](https://img.qammunity.org/2021/formulas/mathematics/high-school/ojc2a5lmn7nmddizzzf8vgcmv1xgiliqnm.png)
Putting x = 4 in side 1
![=-4(4)+21\\= -16+21\\=5](https://img.qammunity.org/2021/formulas/mathematics/high-school/yzffixrh0odej9aweijmdd6qiayzwji886.png)
Hence,
x = 4
-4x+21 => 5