Question

1. find the value of x for which abcd must be a parallelogram. 1 102 81 2

Explanation:

Step1: Recall parallelogram property

In a parallelogram, opposite - sides are equal. So, if \(ABCD\) is a parallelogram, then \(BC = AD\). Given \(BC=25x + 1\) and \(AD = 7x+37\), we set up the equation \(25x + 1=7x + 37\).

Step2: Solve the equation for \(x\)

Subtract \(7x\) from both sides: \(25x-7x + 1=7x-7x + 37\), which simplifies to \(18x+1 = 37\). Then subtract 1 from both sides: \(18x+1 - 1=37 - 1\), giving \(18x=36\). Divide both sides by 18: \(x=\frac{36}{18}=2\).

Answer:

2