The complete question in the attached figure
we know that
angle y and angle (5y-18) are supplementary angles
then
y°+(5y-18)°=180°------> 6y=180+18------> y=198/6-----> y=33°
and
angle x and angle y are also supplementary angles
then
x+y=180--------> x=180-y-----> x=180-33-----> x=147°
the answer is
x=147°
y=33°
Answer:
-2.20 < z < 2.20
Step-by-step explanation:
You are saying the entire area = 0.9722
so 1 - 0.9722 = 0.0278
then we want it to fit in the middle of the normal curve with center 0
so...
0.0278/2 =0.0139 this corresponds to 2.20 on the z-score chart
Answer:
Max is correct
If one reflects a figure across the x-axis, the points of the image can be found using the pattern (x, y) ⇒ (x, –y).
If one reflects a figure across the y-axis, the points of the image can be found using the pattern (x, y) ⇒ (–x, y).
Taking the result from the first reflection (x, –y) and applying the second mapping rule will result in (–x, –y), not (y, x), which reflecting across the line should give.
Step-by-step explanation:
The answer above pretty well explains it.
The net result of the two reflections will be that any figure will retain its orientation (CW or CCW order of vertices). It is equivalent to a rotation by 180°. The single reflection across the line y=x will reverse the orientation (CW ⇔ CCW). They cannot be equivalent.