Question

what values of t and u make △abc ≅ △ijk?
t=
u=
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Explanation:

Step1: Corresponding sides of congruent triangles

Since \(\triangle ABC\cong\triangle IJK\), the corresponding sides are equal.
For side \(AB\) and \(IJ\): \(9t = 18\)

Step2: Solve for \(t\)

Divide both sides of \(9t = 18\) by \(9\): \(t=\frac{18}{9}=2\)

Step3: For side \(BC\) and \(JK\)

Since \(BC = 50\) and \(JK = 5u\), then \(5u=50\)

Step4: Solve for \(u\)

Divide both sides of \(5u = 50\) by \(5\): \(u=\frac{50}{5}=10\)

Answer:

\(t = 2\)
\(u = 10\)