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XY || WZ. What is VZ?

XY || WZ. What is VZ?-example-1
User Calvinfo
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1 Answer

2 votes

Answer:

VZ = 18

Explanation:

If XY || WZ, triangles VYX and

VZW are similar due to having 3 angles with same measurements. Similar figures’ corresponding sides can be found via the common ratio between the sides:

VZ/(36+VZ)= 24/72

VZ/(36+VZ) = 1/3

VZ = (36+VZ)/3

VZ = 12 + VZ/3

3VZ/3 - VZ/3 = 12

2VZ/3 = 12

VZ = 12 * 3/2

VZ = 18

User Markus Dutschke
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