Question

4.7 assignment
find the value of x.

x =

Explanation:

Step1: Use the property of isosceles triangle

In an isosceles triangle, angles opposite equal sides are equal. Here, sides \(GH = HJ=13\), so \(\angle G=\angle J\). Then \(7x + 5=x + 47\).

Step2: Solve the equation for \(x\)

Subtract \(x\) from both sides: \(7x-x+5=x - x+47\), which gives \(6x+5 = 47\).
Subtract \(5\) from both sides: \(6x+5 - 5=47 - 5\), so \(6x=42\).
Divide both sides by \(6\): \(x=\frac{42}{6}\).

Answer:

\(7\)