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The pentagons ABCDE and PQRST are similar. Find the length x of bar (TP).

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Final answer:

The length of bar (TP) can be found using the concept of similar triangles. Let the length of bar TP be represented as x. The corresponding side length in pentagon ABCDE is AB, which is 3 times the length of bar TP.

Step-by-step explanation:

The length of bar (TP) can be found using the concept of similar triangles. Since pentagons ABCDE and PQRST are similar, corresponding sides have the same ratio. Let the length of bar (TP) be represented as x. The corresponding side length in pentagon ABCDE is AB, which is 3 times the length of bar (TP). Therefore, AB = 3x.

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