Answer: 40/9
tan A = BC/AC = 40/9
Step-by-step explanation:
Let daniel's age = d and let jessica's age = j
let your current age = x and your wife's current age = y
x = 5d (given in question)
∴ x - 5d = 0
x + 21 = 2(d+21) (given in question)
∴ x + 21 = 2d + 42
∴ x - 2d = 21
We can solve these two rearranged equations simultaneously by multiplying the first equation by -1 and adding them. This gives us the following:
3d = 21
∴ d = 7
This means that daniel is currently 7 and (if we substitute d = 7 into one of the equations) you are 35. We use a similar method for your wife's and jessica's current ages.
y = 7j (given in question)
∴ y - 7j = 0
y + 8 = 3(j + 8)
∴y + 8 = 3j + 24
∴ y - 3j = 16
If we use a similar method of elimination we get this:
4j = 16
∴ j = 4
Hence, from this we can concur that daniel is 7 and jessica is 4.
Answer:
12
Step-by-step explanation:
2x - 4= 16
Divide by 2
2x/2 -4/2 = 16/2
x -2 = 8
Add 4 to each side
x-2+4 = 8+4
x+2 = 12
Firstly you have to multiply both sides by 2 to get rid of the fractions. This leaves you with x + 18= 8. If you take away 18 from both sides you can see that x = -10
Answer:
Step-by-step explanation:
Do not confuse the GCF with the Least Common Denominator (LCD) which is the smallest expression that all terms go into, rather than the greatest number
