The numerical value of AB is 24
The given parameters are:
BD = BC
BD = 5x - 26
BC = 2x + 1
AC = 43
BD = BC implies that:
5x - 26 = 2x + 1
Evaluate the like terms
3x = 27
Divide by 3
x= 9
To calculate the length AB, we use the following equation
AB = AC - BC
So, we have:
AB = 43 - 2x - 1
Substitute 9 for x in AB = 43 - 2x - 1
AB = 43 - 2 * 9 - 1
Evaluate the product
AB = 43 - 18 - 1
Evaluate the difference
AB = 24
Hence, the numerical value of AB is 24
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