The correct answer is B. -12
Amy's current age is 16 years greater than Peter's age, so Amy's current age is equal to x + 16.
6 years ago, Amy's age was equal to twice that of Peter's age at that point, so her age was 2(x - 6).
As currently her age is x + 16 then 6 years ago her age was x + 16 - 6, which is x + 10.
As 6 years ago her age was equal to 2(x - 6) and x + 10, we can see that x + 10 = 2(x - 6).
First, we draw our line.
|------------------------------------------------------------------------------------|
a e
Next, break up this line into segments using the information.
|----------------------|----------------------|--------------------|------------------|
a b c d e
The entire line is 29.
ab + bc + cd + de = ae
ab + bc + cd + de = 29
You also know that
bd = bc + cd
Due to midpoint theorem,
ab = bc
cd = de
Then,
2ab + 2cd = 29
The equations we will use are
bd = bc + cd eq1
2bc + 2cd = 29 eq2
Dividing both sides of the equation in eq2 yields
bc + cd = 14.5
bd = bc + cd
bd = 14.5
Answer:
2.
Step-by-step explanation:
We have been given an expression
and we are asked to find equivalent expression to our given expression.
Using fraction rule
we can write our expression as:
.
Upon dividing 10 by 5 we will get,
Upon using exponent property for quotient
we will get,
Therefore, our expression simplifies as
and 2nd option is the correct choice.