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4 years ago

9

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1 answer:

BaLLatris [955]4 years ago

7 0

Answer:

8cm

Step-by-step explanation:

x is similar to the side 12cm.

We know the second triangle is rotated counter-clockwise from the first because similar triangles have the same angle measurements.

Since the angle in the first triangle between 9cm and 15cm is 53°, it can't be similar to the angle between x and the hypotenuse in the second triangle.

Find the scale factor:

Triangle 1/Triangle 2

Divide two similar sides.

6/9 = 2/3

Multiply the scale factor by the similar side to find x.

x = 12*(2/3)

x = 8

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