The medians of TUV are TX, UY, and VW. They meet at a single point Z. (In other words, Z is the centroid of TUV.)
Suppose UZ=8, VW=33, and ZX=5.
Find the following lengths.
Note that the figure is not drawn to scale.

TZ = 10 units

UY = 12 units

ZW = 11 units

Step-by-step explanation:

Point Z is the centroid of ΔTUV.

Since, centroid of a triangle is located on each median so that it divides each median in the ratio of 2 : 1

Therefore, TZ = 2(ZX)

TZ = 2(5) = 10 units

UY = UZ + ZY

     = UZ +

     =

     =

     = 12 units

ZW =

      =

      = 11 units

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!