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Please help me with this question

Please help me with this question-example-1

1 Answer

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Answer:

It is 65 cm

Explanation:

Alright, within the image, the triangles ABC and TUV are congruent. With this, the following is true: AB ≅ TU, BC ≅ UV, and CA ≅ VT because the order and their sides between the two triangles is shared.

With this, BC is ≅ to UV. Now, just set the two equations equal to each other:

9x+2=8x+9

9x=8x+7

x=7

Now, we've got x, though it needs to be plugged back into side BC for the final answer

9(7)+2

63+2

65 cm

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