Question

which value of x will make $overleftrightarrow{ab}$ perpendicular to $overleftrightarrow{cd}$? (5x - 7)° (5y - 6)° a f g (2y + 5)° (7x - 11)° c e d b o a) 6

Explanation:

Step1: Recall perpendicular - angle property

When two lines are perpendicular, the angle between them is 90°. So, \((5x - 7)+(7x - 11)=90\).

Step2: Combine like - terms

Combine the \(x\) terms and the constant terms: \((5x+7x)+(-7 - 11)=90\), which simplifies to \(12x-18 = 90\).

Step3: Isolate the variable term

Add 18 to both sides of the equation: \(12x-18 + 18=90 + 18\), resulting in \(12x=108\).

Step4: Solve for \(x\)

Divide both sides of the equation by 12: \(x=\frac{108}{12}=9\).

Answer:

9