Given figure abcd ~ figure wxyz, what is the value of k? m in quadrilateral abcd, the length of segment cd is two and three-tenths meters and the length of segment bc is four and two-tenths meters. in quadrilateral wxyz, the length of segment yz is unknown and represented by variable k, and the length of segment xy is eight and four-tenths meters.

You can use ratio and proportion in this problem.

Segment DC / Segment CB = Segment ZY / Segment YX

2.3m / 4.2m = k / 8.4m

K = 8.4 (2.3 / 4.2)

K = 23/5 or 4.6 m 

Answer= 4.6 m

so firstly, we need to isolate the y variables to be able to solve these inequalities. firstly, add 0.5x on both sides of the first inequality and subtract 1.5x on both sides of the second inequality:

now since the slope is positive for the first inequality, this means that the line going upwards belongs to the first inequality, and the line going downwards belongs to the second inequality.

next, since y ≥ in the first inequality, this means that the shaded region will be above the first inequality's line, thus shading regions a and b.

next, since y ≤ in the second inequality, this means that the shaded region is going to be below this line, thus shading regions a and c.

since both lines shade region a, this means that region a is the solution.

step-by-step explanation:

mark brainliest!