Question

quadrilateral tuvw is a rhombus. what is the value of y? 10y - 43 y + 11 y =

Explanation:

Step1: Recall rhombus property

In a rhombus, all sides are equal. So, we set up the equation $10y - 43=y + 11$.

Step2: Solve the equation for y

Subtract y from both sides: $10y - y-43=y - y + 11$, which simplifies to $9y-43 = 11$. Then add 43 to both sides: $9y-43 + 43=11 + 43$, getting $9y=54$. Divide both sides by 9: $\frac{9y}{9}=\frac{54}{9}$, so $y = 6$.

Answer:

$6$