Answer:

So then the correct answer is B. $200.
Step-by-step explanation:
Notation
Let X be the average contribution size before John makes his contribution.
Let Y be the total contribution size before John makes his contribution.
Let Z be John's contribution.
We know that for this case $ 75 represent the original average amount before the contribution with 50% increase so we can set up the following equation in order to find the original average amount

And solvong for X we got:

Now we can find the total contribution before the donation with the following proportion:


And then with the formula of average taking in count the 6 values we can find the size of donation Z like this:



So then the correct answer is B. $200.
Answer and explanation:
Statement - If the difference of two numbers is even then so is their sum.
Let the two even numbers be '2m' and '2n' with m and n are integers.
The difference of two number is

Now, The sum of the numbers is

Let
where k is an integer
Then,
which is also an even number as 2 is multiplied with it.
So, If the difference of two numbers is even then so is their sum.
For example -
Let two even number 2 and 4.
The difference is
, 2 is even.
The sum is
, 6 is even.
Answer:
Step-by-step explanation:
Co-ordinates of F, G and H are:
F (-4, 5)
G (1, 10)
H (-9, 10)
You can find the lengths of sides by using the distance formula:
<em>length</em>(FG) =
=
units
Similarly,
<em>length</em>(GH) = 10 units
<em>length</em>(HF) =
units
Hence, perimeter will be:
P = <em>length</em>(FG) + <em>length</em>(GH) + <em>length</em>(HF) =
units
Answer:
27 is ta value of x because.. first of all add allthose threee sides
3(x+2)+ 35+ 52=180(the sum of triangle)
or, 3x+6+35+52=180
or,3x=180-93
or,x=87/3
Therefore, the value of x is 29
Step-by-step explanation:
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The r-value, or common ratio, can be calculated by dividing any two consecutive terms in a geometric sequence.