Question

use the figure on the right to find tv.

tw = □ (type an integer or a decimal.)

Explanation:

Step1: Apply the Perpendicular Bisector Theorem

Since \( TY = YZ \) (marked as equal) and \( WY\perp TZ \), by the Perpendicular Bisector Theorem, \( TW = WZ \).
So, \( 3x=4x - 3 \).

Step2: Solve the equation for \( x \)

Subtract \( 3x \) from both sides: \( 0=x - 3 \).
Add \( 3 \) to both sides: \( x = 3 \).

Step3: Find the length of \( TW \)

Substitute \( x = 3 \) into the expression for \( TW \) (which is \( 3x \)).
\( TW=3\times3 \).

Answer:

\( 9 \)