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In the construction of a segment congruent to a given segment shown, what is CD?

In the construction of a segment congruent to a given segment shown, what is CD?-example-1
User Elimirks
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1 Answer

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If segments AB and CD are congruent, then they have equal lengths:

5x-2=2x+7.

Solve this equation.

1. Separate terms with x and without x in different sides:

5x-2x=7+2,

3x=9.

2. Divide by 3:

x=3.

Then CD=2x+7=2·3+7=6+7=13.

Answer: correct choice is B.

User Ashraful
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