Question

if (abcd) is a rectangle where (ac = 19) and (db=3x + 4), what is the value of (x)? (1 point) (x = 2.25) (x = 5) (x = 10) (x = 12)

Explanation:

Step1: Recall rectangle property

In a rectangle, the diagonals are equal. So $AC = DB$.

Step2: Set up the equation

Since $AC = 19$ and $DB=3x + 4$, we have the equation $3x+4 = 19$.

Step3: Solve the equation for x

Subtract 4 from both sides: $3x=19 - 4=15$. Then divide both sides by 3, so $x=\frac{15}{3}=5$.

Answer:

$x = 5$