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problem 21: (first taught in lesson 51) in isosceles trapezoid aceg, fi…

Question

problem 21: (first taught in lesson 51) in isosceles trapezoid aceg, find x. after you enter your answer press go. x =

Explanation:

Step1: Use the property of isosceles trapezoid

In an isosceles trapezoid, the non - parallel sides (legs) are equal. So, \(3x + 1=5x - 9\).

Step2: Solve the equation for \(x\)

Subtract \(3x\) from both sides: \(1 = 5x-3x - 9\), which simplifies to \(1=2x - 9\).
Add \(9\) to both sides: \(1 + 9=2x\), so \(10 = 2x\).
Divide both sides by \(2\): \(x=\frac{10}{2}\).

Answer:

\(5\)