Question

t is the midpoint of \\( \overline { s u } \\). if \\( s t = 2 x \\) and \\( t u = x + 7 \\), what is tu?

s
t
u
2x
\\( x + 7 \\)

simplify your answer and write it as a proper fraction, mixed number, or integer.

submit

Explanation:

Step1: Use the midpoint property

Since \(T\) is the midpoint of \(\overline{SU}\), \(ST = TU\). So, \(2x=x + 7\).

Step2: Solve for \(x\)

Subtract \(x\) from both sides of the equation \(2x=x + 7\). We get \(2x-x=x + 7-x\), which simplifies to \(x = 7\).

Step3: Find the value of \(TU\)

Substitute \(x = 7\) into the expression for \(TU\). Since \(TU=x + 7\), then \(TU=7+7\).

Answer:

\(14\)