Answer:
From the given information we know that Y Z and A are the midpoints of sides AV VW and WX respectively. By the midpoint theorem we can conclude that the line segment XY is parallel to line segment AW and line segment YZ is parallel to line segment WX.
From this parallelism we can conclude that the ratio of corresponding lengths is equal. In this case we can say that XA/AW = XY/YZ.
To verify this result let's substitute XA = 4x-3 and AW = 2x + 5 into the equation:
(4x-3)/(2x + 5) = XY/YZ.
To further simplify the equation we can cross-multiply:
(4x-3)(YZ) = (2x + 5)(XY).
Since we know that YZ = WX and XY = AV we can substitute these values:
(4x-3)(WX) = (2x + 5)(AV).
Since Y Z and A are the midpoints we can say that WX = 2AW and AV = 2XA. Substituting these values:
(4x-3)(2AW) = (2x + 5)(2XA).
Simplifying further we get:
8AWx - 6AW = 4XA x + 10XA.
Now we can divide through by x to isolate the variables:
8AW - 6 = 4XA + 10.
Rearranging the equation:
8AW - 4XA = 10 + 6.
Combining like terms:
8AW - 4XA = 16.
However based on the options provided none of the choices match the expression derived from the equation. Therefore we cannot conclude any specific relationship between XA and AW based on the given information.