Question

find tu. (just put the number!)

Explanation:

Step1: Find the value of \( y \)

In a rhombus, all sides are equal. So, \( 6y - 5=3y + 7 \).
Subtract \( 3y \) from both sides: \( 6y-3y - 5=3y-3y + 7 \), which gives \( 3y-5 = 7 \).
Add \( 5 \) to both sides: \( 3y-5 + 5=7 + 5 \), so \( 3y=12 \).
Divide both sides by \( 3 \): \( y=\frac{12}{3}=4 \).

Step2: Calculate the length of \( TU \)

Substitute \( y = 4 \) into the expression for \( TU \) (since \( TU=3y + 7 \)).
\( TU=3\times4 + 7=12 + 7=19 \).

Answer:

19