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21. x=? given \\( \\triangle u v w \\cong \\triangle t s r \\), find th…

Question

  1. x=?

given \\( \triangle u v w \cong \triangle t s r \\), find the values of x, y, and z.

Explanation:

Step1: Use property of congruent triangles

Since \(\triangle UVW\cong\triangle TSR\), corresponding sides are equal. \(UW = TR\).
\(12x - 7=50\)

Step2: Solve the equation for \(x\)

Add \(7\) to both sides: \(12x=50 + 7\), so \(12x=57\).
Divide both sides by \(12\): \(x=\frac{57}{12}=\frac{19}{4}=4.75\)

Answer:

\(x = 4.75\)