Question

if sq ≅ tq, st = x + 34, and tq = 40, what is the value of x
x =

Explanation:

Step1: Use the perpendicular bisector theorem

Since \( SV = WV \) and \( TV \perp SW \), by the perpendicular bisector theorem, \( ST = TW \).

Step2: Set up the equation

Given \( ST = p + 34 \) and \( TW = 40 \), we have the equation \( p + 34=40 \).

Step3: Solve for \( p \)

Subtract 34 from both sides of the equation: \( p=40 - 34 \).

Answer:

\( p = 6 \)