Question

1. find the value of x. rt = 2x + 4 sw = 6x - 20

Explanation:

Step1: Recall rectangle property

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

Step2: Set up the equation

Set $2x + 4=6x - 20$.

Step3: Isolate x - terms

Subtract $2x$ from both sides: $4 = 6x-2x - 20$, which simplifies to $4 = 4x-20$.

Step4: Isolate the constant - term

Add 20 to both sides: $4 + 20=4x$, so $24 = 4x$.

Step5: Solve for x

Divide both sides by 4: $x=\frac{24}{4}=6$.

Answer:

6