Respuesta :

harpazo

(AB) = 7x + 10


(BD) = 9x + 2


AB = BD


7x + 10 = 9x + 2


Solve for x.


7x - 9x = 2 - 10


-2x = -8


x = 4


AB = 7x + 10


AB = 7(4) + 10


AB = 28 + 10


AB = 38



gmany

AB = 7x + 10

BD = 9x + 2

AB = BD, therefore

7x + 10 = 9x + 2        subtract 10 from both sides

7x = 9x - 8        subtract 9x from both sides

-2x = -8       divide both sides by (_2)

x = 4

Put the value of x to the expression 7x + 10:

AB = 7(4) + 10 = 28 + 10 = 38

Answer: AB = 38

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