Question

$nrtw$ is a parallelogram whose diagonals intersect at point $b$. some measurements are given.$nw = 12x - 21LXB0wr = 422LXB1tw = 12x + 32$what equation can be used to determine the value of $x$?$\bigcirc 2(12x - 15.4) = 422$$\bigcirc 12x + 32 = 422$$\bigcirc 12x - 15.4 = 12x - 21$$\bigcirc 12x + 32 = 4x + 23.2$

Explanation:

Step1: Recall parallelogram diagonal property

In a parallelogram, diagonals bisect each other, so $WR = 2 \times BW$.

Step2: Substitute given values

Substitute $WR=422$ and $BW=12x-15.4$ into the property.
$2(12x - 15.4) = 422$

Answer:

$2(12x - 15.4) = 422$ (Option 1)