Answer:
x = 15
Step-by-step explanation:
Similar triangles and proportional side lengths.
10/4 = x/6
5/2 = x/6
2x = 5 * 6
2x = 30
x = 15
(4/3) Pi r^3 = (1/3) Pi r^2 h
Solving for h = 4r
Answer:
f = 3
Step-by-step explanation:
Solve for f:
13 - 6 f = 2 f - 11
Subtract 2 f from both sides:
13 + (-6 f - 2 f) = (2 f - 2 f) - 11
-6 f - 2 f = -8 f:
-8 f + 13 = (2 f - 2 f) - 11
2 f - 2 f = 0:
13 - 8 f = -11
Subtract 13 from both sides:
(13 - 13) - 8 f = -13 - 11
13 - 13 = 0:
-8 f = -13 - 11
-13 - 11 = -24:
-8 f = -24
Divide both sides of -8 f = -24 by -8:
(-8 f)/(-8) = (-24)/(-8)
(-8)/(-8) = 1:
f = (-24)/(-8)
The gcd of -24 and -8 is -8, so (-24)/(-8) = (-8×3)/(-8×1) = (-8)/(-8)×3 = 3:
Answer: f = 3
