Question

find the value of x.
given (\triangle uvwcong\triangle tsr), find the value of x.

Explanation:

Step1: Use the property of congruent triangles

Since \(\triangle UVW\cong\triangle TSR\), their corresponding sides are equal. So, \(UV = TS\).

Step2: Set up the equation

We know that \(UV=12x - 7\) and \(TS = 53\). Then the equation is \(12x-7=53\).

Step3: Solve the equation for \(x\)

Add \(7\) to both sides of the equation: \(12x-7 + 7=53 + 7\), which simplifies to \(12x=60\).
Divide both sides by \(12\): \(x=\frac{60}{12}\).

Answer:

\(x = 5\)