Answer :

You have that the given triangles are congruent. Then, you can consider that sides BC and DE are equal, that is:

BC = DE

Furthermore, you have tha the previous sides are given by the following algebraic expressions:

BC = 2x - 1

DE = x + 9

In order to find the value of x you equal the previous expressions for BC and DE (becuase these sides are equal):

2x - 1 = x + 9 subtract x both sides

2x - x - 1 = 9 add 1 both sides

2x - x = 9 + 1 simplify

x = 10

Hence, x = 10

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