Assume the second number is x, then the other two are x - 2, x + 2
So x-2 + x + x + 2 = 51
-> 3x = 51
-> x = 17
So first of all they are similar because they are in the same degree and the top and bottom of each one is equal, and so are the left and right. You need to set up a proportion of 10:3.12 and 5:1.2 because those are the sides that match up. They match because if you rotate the second figure to the right it would match the figure on the right. The only available answer then out of 10:3.12 and 5.12 is letter A. Hope this helps comment if you need any more help or it’s confusing.
Answer:
The set of natural numbers is the set of all positive integers, then this set is:
{1, 2, 3, ...}
and the 24th letter of the alphabet is x
Now we want to write the expression given in the sentence "It is one more than the sum of the first three natural numbers, followed by the 24th letter of the alphabet"
We can "break" this in parts, so it is easier to understand.
Then:
"...the sum of the first 3 natural numbers..."
is:
1 + 2 + 3
Then:
"...the sum of the first 3 natural numbers, followed by the 24th letter of the alphabet"
This can be written as:
(1 + 2 + 3) + x
Now we can analyze the complete sentence:
"It is one more than the sum of the first three natural numbers, followed by the 24th letter of the alphabet"
This is equal to the expression we found above plus one, then we can write this as:
[(1 + 2 + 3) + x] + 1
[6 + x] + 1
6 + x + 1
7 + x
A.
The rate is 12:2
B.
Set up a proportion:
12/2 = x/5
Multiply 5 to both sides:
60/2 = x
Divide:
30 = x
So he will walk 30 miles in 5 hours.
C.
To find out, we can divide 12 / 2.
12 / 2 = 6 miles per hour
So, how much acid is there in 6 gallons? well is 20% acid or (20/100), so the amount of acid in it just (20/100) * 6 or 1.2, the rest is say water.
now, if we want a 90% solution, and say we add "y" gallons, how much acid is in it? well (90/100) * y, or 0.9y.
now let's add "x" gallons of pure acid, now, pure acid is just pure acid, so is 100% acid, how much acid is there in it? (100/100) * x, or 1x or just x.
we know whatever "x" and "y" amounts are, they -> x + 6 = y
and we also know that x + 1.2 = 0.9y