Question

1. rectangle prst has diagonals ps = 6x + 3 and rt = 7x - 2. find the value of x. a. 3 b. 4 c. 5 d. 6

Explanation:

Step1: Recall rectangle diagonal property

In a rectangle, diagonals are equal. So \( PS = RT \).

Step2: Set up the equation

Given \( PS = 6x + 3 \) and \( RT = 7x - 2 \), we set \( 6x + 3 = 7x - 2 \).

Step3: Solve for \( x \)

Subtract \( 6x \) from both sides: \( 3 = x - 2 \).
Add 2 to both sides: \( x = 5 \).

Answer:

C. 5