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Leni [432]
3 years ago
7

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

Mathematics
1 answer:
pogonyaev3 years ago
4 0

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.

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<em>Comment on the approach</em>

In this problem, you are only asked for one x-value for a given y-value. If there were more, you would solve the equation generically (x = (y+14)/3) and use that to compute the desired values of x.

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