24,000 gallons a day 1,000 gallons an hour 16.666666667 gallons a minute
Answer:
1) x = 14°, y = 5°
2) x = 18.5°, y = 37°
Step-by-step explanation:
1) ∠AOC and ∠BOD are vertical angles, then ∠BOD = 25°
∠MOD = ∠MOB + ∠BOD = 90°
3x + 23° + 25° = 90°
3x = 90° - 23° - 25°
x = 42°/3
x = 14°
∠LOB = ∠LOM + ∠MOB = 90°
5y + 3x + 23° = 90°
5y = 90° - 23° - 3(14°)
y = 25°/5
y = 5°
2) ∠AOC and ∠BOD are vertical angles, then ∠BOD = 16°
∠EOB = ∠EOD + ∠DOB = 90°
2y + 16° = 90°
y = (90° - 16°)/2
y = 37°
∠DOF = ∠BOF + ∠DOB = 90°
4x + 16° = 90°
x = (90° - 16°)/4
x = 18.5°
Answer:
x=81
y=99
z= 129
Step-by-step explanation:
the 3 angles of a triangle add to 180 degrees
51 + 48 + x = 180
99 + x = 180
subtract 99 from each side
99 + x -99 = 180 -99
x = 81
x+y = 180 they make a straight line
81+ y = 180
subtract 81 from each side
y = 180-81
y = 99
z+ 51 = 180 they make a straight line
subtract 51 from each side
z+51-51 = 180 -51
z = 129
