Question

① find the value of x
\\( \overline { j k } \cong \overline { k l } \\) given
\\( j k = k l \\) def of \\( \cong \\) segs.
\\( 4 x - 1.3 = x + 3.2 \\)
\\( - x - x \\)
solve for x:

Explanation:

Step1: Set up the equation

Since \( \overline{JK}\cong\overline{KL}\), we have \(4x - 1.3=x + 3.2\).

Step2: Subtract \(x\) from both sides

\(4x-x-1.3=x - x+ 3.2\), which simplifies to \(3x-1.3 = 3.2\).

Step3: Add \(1.3\) to both sides

\(3x-1.3 + 1.3=3.2 + 1.3\), so \(3x=4.5\).

Step4: Divide both sides by \(3\)

\(x=\frac{4.5}{3}\).

Answer:

\(x = 1.5\)