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9. If XYZ LMN, what is the length of XZ?
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9. If XYZ LMN, what is the length of XZ?

9. If XYZ LMN, what is the length of XZ?-example-1
User Vitalii Korsakov
by
3.8k points

1 Answer

4 votes

Answer:

XZ = 21 cm

Explanation:

since the triangles are congruent then corresponding sides are congruent, so

LN = XZ , that is

5x - 19 = 2x + 5 ( subtract 2x from both sides )

3x - 19 = 5 ( add 19 to both sides )

3x = 24 ( divide both sides by 3 )\

x = 8

then

XZ = 2x + 5 = 2(8) + 5 = 16 + 5 = 21 cm

User Csd
by
2.9k points
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