Question

question find the value of z in the diagram below. diagram: a bar (rectangle) divided into three segments: top segment labeled 29, middle and bottom segments labeled z; a bracket spans all three segments, labeled 49 answer attempt 1 out of 2 z = input box submit answer

Explanation:

Step1: Set up the equation

From the diagram, we know that \(29 + z + z = 49\), which simplifies to \(29 + 2z = 49\).

Step2: Subtract 29 from both sides

Subtract 29 from each side of the equation: \(2z = 49 - 29\). Calculating the right side, we get \(2z = 20\).

Step3: Solve for z

Divide both sides by 2: \(z=\frac{20}{2}\). So, \(z = 10\).

Answer:

10