Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

for what value of x is d || e? (2x - 3)° (7x + 3)° 35 25 20 37

Question

for what value of x is d || e? (2x - 3)° (7x + 3)° 35 25 20 37

Explanation:

Step1: Use the property of parallel lines

When \(d\parallel e\), the sum of the same - side interior angles is \(180^{\circ}\). So, \((2x - 3)+(7x + 3)=180\).

Step2: Simplify the equation

Combine like terms: \(2x-3 + 7x+3=180\), which simplifies to \(9x=180\).

Step3: Solve for \(x\)

Divide both sides of the equation \(9x = 180\) by \(9\): \(x=\frac{180}{9}=20\).

Answer:

\(20\)