Question

1. if ( gh = 7x + 18 ) and ( jk = 81 ), find ( x ).

Explanation:

Step1: Identify congruent segments

Since the triangles are congruent (by the markings on the sides), \(GH = JK\).

Step2: Set up the equation

Given \(GH = 7x + 18\) and \(JK = 81\), we have \(7x+18 = 81\).

Step3: Solve for \(x\)

Subtract 18 from both sides: \(7x=81 - 18\), so \(7x = 63\).
Divide both sides by 7: \(x=\frac{63}{7}\).

Answer:

\(9\)