Answer:
4) d = 60; e = 90
5) f = 30
6) h = 120
Step-by-step explanation:
4)
d + d + d = 180
3d = 180
d = 60
e + e + e + e = 360
4e = 360
e = 90
5)
70 + (180 - 100) + f = 180
70 + 80 + f = 180
f = 30
6)
45 + 75 + (180 - h) = 180
300 - h = 180
-h = -120
h = 120
The equation of a sphere centered at (h, j, k) with radius r is
... (x -h)² +(y -j)² +(z -k)² = r²
The sphere can have a radius no larger than the distance to the nearest octant boundary, one of x=0, y=0, or z=0. That is, the radius must be 3, so the equation is
... (x -3)² + (y -3)² + (z -6)² = 9