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Question

Triangles ABC and XYZ are similar. What is the length of XZ?
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A
14
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B
20
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C
22
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D
24
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Solution

The correct option is D 24
First find the scale factor:
Since BC = 10 and YZ = 20, the scale factor is found by dividing YZ by BC
Scale factor = 2010=2
Now use the same scale factor to find the length of XZ:
XZ = 2 x 12 = 24

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