Question

1. stvu is an isosceles trapezoid. if sv = 3x - 11 and tu = x + 13, find the value of x. 12 4 16 1

Explanation:

Step1: Recall property of isosceles trapezoid

In an isosceles trapezoid, the non - parallel sides are equal. Here, the diagonals of an isosceles trapezoid are equal, so $SV = TU$.

Step2: Set up the equation

Set $3x - 11=x + 13$.

Step3: Solve for x

Subtract $x$ from both sides: $3x-x-11=x - x+13$, which simplifies to $2x-11 = 13$. Then add 11 to both sides: $2x-11 + 11=13 + 11$, getting $2x=24$. Divide both sides by 2: $\frac{2x}{2}=\frac{24}{2}$, so $x = 12$.

Answer:

12