Question

if $su = 9z - 21$ and $sw = 6z$, find the value of $z$ in parallelogram $tuvw$.

Explanation:

Step1: Recall parallelogram diagonal property

In a parallelogram, diagonals bisect each other, so $SW = SU$.

Step2: Set up equation for z

$$6z = 9z - 21$$

Step3: Rearrange to solve for z

$$21 = 9z - 6z$$
$$21 = 3z$$
$$z = \frac{21}{3}$$

Answer:

$7$