Respuesta :

The numerical value of AB is 24

How to determine the numerical value of ab?

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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