Question

y - 1 2y - 5 3y - 9 5 4 3 13

Explanation:

1. Explanation:

• Since the figure appears to be a rectangle (assuming the right - angled corners indicate a rectangle), in a rectangle, opposite sides are equal.
• We can set up equations based on the equality of opposite sides. Let's assume the vertical sides are equal and the horizontal sides are equal.
• First, set the vertical sides equal: \(y - 1=2y - 5\).
• Step 1: Isolate the variable terms
• Subtract \(y\) from both sides of the equation \(y - 1=2y - 5\). We get \(-1=y - 5\).
• Step 2: Solve for \(y\)
• Add 5 to both sides of the equation \(-1=y - 5\). So, \(y=4\).
• We can also check by setting the horizontal sides equal. If we set \(y - 1\) (a vertical side) and assume the horizontal - side relationship. Let's say if we consider the other property of the rectangle. If we set \(3y-9\) (a horizontal side) equal to one of the vertical - side expressions (after finding \(y\)). Substitute \(y = 4\) into \(3y-9\), we have \(3\times4-9=12 - 9=3\), and if we substitute \(y = 4\) into \(y - 1\), we get \(4 - 1=3\).

1. Answer: \(4\)

Answer:

1. Explanation:

• Since the figure appears to be a rectangle (assuming the right - angled corners indicate a rectangle), in a rectangle, opposite sides are equal.
• We can set up equations based on the equality of opposite sides. Let's assume the vertical sides are equal and the horizontal sides are equal.
• First, set the vertical sides equal: \(y - 1=2y - 5\).
• Step 1: Isolate the variable terms
• Subtract \(y\) from both sides of the equation \(y - 1=2y - 5\). We get \(-1=y - 5\).
• Step 2: Solve for \(y\)
• Add 5 to both sides of the equation \(-1=y - 5\). So, \(y=4\).
• We can also check by setting the horizontal sides equal. If we set \(y - 1\) (a vertical side) and assume the horizontal - side relationship. Let's say if we consider the other property of the rectangle. If we set \(3y-9\) (a horizontal side) equal to one of the vertical - side expressions (after finding \(y\)). Substitute \(y = 4\) into \(3y-9\), we have \(3\times4-9=12 - 9=3\), and if we substitute \(y = 4\) into \(y - 1\), we get \(4 - 1=3\).

1. Answer: \(4\)