Question

practice d: (first taught in lesson 53) in parallelogram cfhi, fp = 3y + 2 and pi = y + 4; find y. after you enter your answer press go. y =

Explanation:

Step1: Use the property of parallelogram diagonals

In a parallelogram, the diagonals bisect each other. So \(FP = PI\).

Step2: Set up the equation

Given \(FP = 3y + 2\) and \(PI = y + 4\), we have the equation \(3y+2=y + 4\).

Step3: Solve the equation

Subtract \(y\) from both sides: \(3y - y+2=y - y+ 4\), which simplifies to \(2y+2 = 4\).
Subtract \(2\) from both sides: \(2y+2 - 2=4 - 2\), so \(2y=2\).
Divide both sides by \(2\): \(y=\frac{2}{2}=1\).

Answer:

\(1\)