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QUESTION IMAGE

what is the value of v? u v+48 r 3v s t v = submit

Question

what is the value of v?
u
v+48
r
3v
s
t
v =
submit

Explanation:

Step1: Identify the property

Since \( TU = TS \) (marked with equal segments) and \( TR \perp US \), \( TR \) is the perpendicular bisector of \( US \). So \( UR = RS \).

Step2: Set up the equation

We have \( UR = v + 48 \) and \( RS = 3v \). So \( v + 48 = 3v \).

Step3: Solve for \( v \)

Subtract \( v \) from both sides: \( 48 = 2v \). Then divide by 2: \( v = 24 \).

Answer:

\( 24 \)