Question

1. qrst is a rectangle. if rt = 5x - 5 and sq = x + 11, find the value of x. 6 2 4 14

Explanation:

Step1: Recall rectangle property

In a rectangle, the diagonals are equal. So, $RT = SQ$.

Step2: Set up the equation

We have the equation $5x - 5=x + 11$.

Step3: Solve for x

Subtract $x$ from both sides: $5x - x-5=x - x + 11$, which simplifies to $4x-5 = 11$. Then add 5 to both sides: $4x-5 + 5=11 + 5$, getting $4x=16$. Divide both sides by 4: $\frac{4x}{4}=\frac{16}{4}$, so $x = 4$.

Answer:

4