Question

what values of y and z make \\( \triangle vwx \cong \triangle jhi \\)?

Explanation:

Step1: Use the property of congruent triangles

Since \(\triangle VWX\cong\triangle JHI\), their corresponding sides are equal. So, \(3y = 14z\) and \(4y - 18=10z + 8\).

Step2: Solve the system of equations

From \(3y = 14z\), we get \(y=\frac{14z}{3}\).
Substitute \(y=\frac{14z}{3}\) into \(4y - 18=10z + 8\):

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Step3: Find the value of \(y\)

Substitute \(z = 3\) into \(y=\frac{14z}{3}\), \(y=\frac{14\times3}{3}=14\)

Answer:

\(y = 14\), \(z = 3\)