Question

what is the length of segment $xy$?
7
9
10
12
the figure shows a quadrilateral $xyzw$ with: $xy$ and $xw$ marked as equal, $yz=2x-6$, $zw=12$, $xw=x+1$

Explanation:

Step1: Set equal congruent sides

$x + 1 = 12$

Step2: Solve for x

$x = 12 - 1 = 11$

Step3: Find XY length

$XY = 2x - 6 = 2(11) - 6$

Answer:

10