I think your teacher may have made a typo. Refer to the diagram below. If we ignore segment ZA for now, we can see a rectangle forms with angle W = angle Y = 90. Also, we can see that WX = 6 is the horizontal base and WZ = 8 is the vertical height.
However, the side opposite WZ (which is XY) should also be 8 cm tall, and not 6 cm. If XY was 6 cm, then point Y would move to where point A is located (and the quadrilateral would be WXAZ instead of WXYZ). This new quadrilateral would not have a 90 degree angle at point Y's new location.
In other words, if we want angle Y to be 90 degrees, then side XY must be 8 units long. I have a feeling this is where the typo is, but your teacher might have been intending to say something else.
Answer:
26.7
Step-by-step explanation:
This is the answer because 26.7/20 = (16+26.7)/32
When two triangles are similar, it means their sides are also proportional. The reason why it is not ten is because you need to add 10 to 16 to the large triangle as well, which no longer makes it proportional.
To solve, you create a formula.
(16+x)/32=x/20
Multiply both sides by 32 to get rid of the 32 in the left side.
16+x=32x/20
Multiply both sides by 20 to get rid of the 20 right side.
320+20x=32x
-20x on both sides to get all the variables on one side and all the nukbers on the other.
320=12x
Divide both sides by 12 to get x by itself
x=26.66667
Standard form would be 1.46e-6 because the variable has one degree and the number 6 does not have a degree.
