Answer:
|BC| = 25
Explanation:
The triangle in question is an isosceles triangle because its two angles are equal. Since two of the angles are equal, this shows that the two opposite sides to the angles are also equal as shown:
|AB| = |BC|
4x+4 = 6x-14
Solving for the value of x
4x-6x = -14-4
-2x = -18
x = -18/-2
x = 9
Given |BC| = 2x+7
Substituting x=9 into |BC|
|BC| = 2(9)+7
|BC| = 18+7
|BC| = 25