Question

quadrilateral stuv is an isosceles trapezoid, su = 3y - 68, and tv = y + 100. what is the value of y?

Explanation:

Step1: Set up the equation

In an isosceles trapezoid, the non - parallel sides are equal. So we set $SU = TV$, giving the equation $3y-68=y + 100$.

Step2: Isolate the variable terms

Subtract $y$ from both sides: $3y - y-68=y - y+ 100$, which simplifies to $2y-68 = 100$.

Step3: Isolate the variable

Add 68 to both sides: $2y-68 + 68=100 + 68$, so $2y=168$.

Step4: Solve for y

Divide both sides by 2: $\frac{2y}{2}=\frac{168}{2}$, resulting in $y = 84$.

Answer:

$84$