Answer:
BK=9
Step-by-step explanation:
A midsegment is one half of the length of the base. So, If the base, which is ST is 18, the midsegment will be 18/2=9
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)
Answer:
Step-by-step explanation:
Answer: 20 feet by 20 feet.
Step-by-step explanation:
1. You know that 
is the original measure of one side. Since it is a square, all its sides are equal.
2. Therefore, to solve the problem you only need to solve for , as you can see below:
- You have that:
- Then, you obtain the following quadratic equation:
- Apply the Quadratic formula to solve it:
- Then, you obtain:
3. The dimensions cannot be negative, therefore, the answer is: 20 feet by 20 feet.
