Question

if (wx = 3s), (vy=-2s + 19), and (uz = 5s+2), what is the value of (s?)

Explanation:

Step1: Set up equation from properties

Since the figure likely has equal - length segments (assuming it's a parallelogram - like figure with congruent opposite sides or mid - segment properties), we can assume \(WX = UZ\). So, \(3s=5s + 2\).

Step2: Rearrange the equation

Subtract \(3s\) from both sides: \(0 = 5s-3s + 2\), which simplifies to \(0 = 2s+2\).

Step3: Solve for \(s\)

Subtract 2 from both sides: \(- 2=2s\). Then divide both sides by 2: \(s=-1\).

Answer:

\(s = - 1\)