Answer:
36, 49, 64
Step-by-step explanation:
6 squared, 7 squared, 8 squared makes 149
Balance sheet equation states that:
Assets, A = Liabilities, L + Equity, E => A=L+E
In the current case,
L = Long term debt + Current liabilities = $8,675+$1,865 = $10,540
E = $14,865
Therefore,
A = 14,865 +10,540 = $25,405
Now,
Current assets (excluding cash) = current liabilities+Net working capital, other than cash = $1,865+$2,315 = $4,180
Additionally,
A = Fixed assets+Current assets (excluding cash) + Cash
Therefore,
Cash = 25,405-20,660-4,180 = $565
Answer:
x = 49
Step-by-step explanation:
1- Substitute g ( x ) = 0
Reduce
g ( x ) = - x 2/4 + 7
2- Move the variable to the left
0 = - x 1/2 + 7
3- Simplify the equation
x 1/2 = 7
4- Simplify Evaluate
( x 1/2 ) ² = 7²
5- Check the solution
x= 49
6- Simplify
0= - 49 2/4 + 7
7- x = 49 is a solution
0 = 0
Answer:
m∠BCE = 28° and m∠ECD = 134°
Step-by-step explanation:
* Lets explain how to solve the problem
- The figure has three angles: ∠BCE , ∠ECD , and ∠BCD
- m∠ECD is six less than five times m∠BCE
- That means when we multiply measure of angle BCE by five and
then subtract six from this product the answer will be the measure
of angle ECD
∴ m∠ECD = 5 m∠BCE - 6 ⇒ (1)
∵ m∠BCD = m∠BCE + m∠ECD
∵ m∠BCD = 162°
∴ m∠BCE + m∠ECD = 162 ⇒ (2)
- Substitute equation (1) in equation (2) to replace angle ECD by
angle BCE
∴ m∠BCE + (5 m∠BCE - 6) = 162
- Add the like terms
∴ 6 m∠BCE - 6 = 162
- Add 6 to both sides
∴ 6 m∠BCE = 168
- Divide both sides by 6
∴ m∠BCE = 28°
- Substitute the measure of angle BCE in equation (1) to find the
measure of angle ECD
∵ m∠ECD = 5 m∠BCE - 6
∵ m∠BCE = 28°
∴ m∠ECD = 5(28) - 6 = 140 - 6 = 134°
* m∠BCE = 28° and m∠ECD = 134°
