Problem

If $S T=9, T U=5 x$, and $S U=12 x-12$, what is $T U ?$

Answer

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Answer

Final Answer: \(T U = \boxed{1.33}\)

Steps

Step 1 :Given the equations: \(S T=9\), \(T U=5 x\), and \(S U=12 x-12\)

Step 2 :We notice that the product of the first two equations (ST and TU) is equal to the third equation (SU).

Step 3 :Therefore, we can find TU by dividing SU by ST.

Step 4 :Substituting the given values, we get \(T U = \frac{S U}{S T} = \frac{12}{9} = 1.33\)

Step 5 :Final Answer: \(T U = \boxed{1.33}\)

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