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Solve for d:
(3 (a + x))/b = 2 d - 3 c
(3 (a + x))/b = 2 d - 3 c is equivalent to 2 d - 3 c = (3 (a + x))/b:
2 d - 3 c = (3 (a + x))/b
Add 3 c to both sides:
2 d = 3 c + (3 (a + x))/b
Divide both sides by 2:
Answer: d = (3 c)/2 + (3 (a + x))/(2 b)
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Solve for x:
(3 (a + x))/b = 2 d - 3 c
Multiply both sides by b/3:
a + x = (2 b d)/3 - b c
Subtract a from both sides:
Answer: x = (2 b d)/3 + (-a - b c)
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Solve for b:
(3 (a + x))/b = 2 d - 3 c
Take the reciprocal of both sides:
b/(3 (a + x)) = 1/(2 d - 3 c)
Multiply both sides by 3 (a + x):
Answer: b = (3 (a + x))/(2 d - 3 c)
The diameter of the circle is 18 cm.
The radius is one half the diameter.
Therefore the radius is 18/2 = 9 cm
Answer: 9 cm
1 to simple interest
2 to distance
3 to rate of interest
4 to time money is invested
5 to time spent driving
6 to rate of speed
Step-by-step explanation:
Pythagoras' theorem for the smallest one :
= 52
Pythagoras' theorem for the middle one :
= 
+ 
Pythagoras' theorem for the biggest one :
Using the formula before (for 
) it becomes :
16 + 8a = 52 + 36
16+8a = 88
8a = 88-16
8a = 72
a = 9
Verifying :
= 117
The biggest one :
True
