Question

what is the value of x? s 2x + 50 t 78 r 5x - 22 78 u x =

Explanation:

Step1: Identify congruent segments

Since the two segments with length 78 are equal and the right - angle markings suggest some congruence, we can assume that the segments \(2x + 50\) and \(5x-22\) are equal. So we set up the equation \(2x+50 = 5x - 22\).

Step2: Solve the equation for x

First, subtract \(2x\) from both sides: \(50=5x - 2x-22\), which simplifies to \(50 = 3x-22\). Then add 22 to both sides: \(50 + 22=3x\), so \(72 = 3x\). Finally, divide both sides by 3: \(x=\frac{72}{3}\).

Answer:

24