Answer:
<em>The denominator is 12</em>

Step-by-step explanation:
<u>The Number Line</u>
We can represent any real number in a properly segmented line, where the zero-mark is the separation between positive numbers to its right side and negative numbers to the left side.
We are given the number x = 2/3. Since it's positive, its location lies to the right of the zero but before the 1 as shown in the figure below.
We want to locate a second point y at the same distance from 0 as the point x, so we have two options: y is the same as x, or y is negative at the same distance from zero. We chose the last option.
Its numerator must be 8, so we need to multiply it by 4. But we cannot alter the value of x, so we must also multiply the denominator by 4, which gives us the fraction 8/12, but recall it must be negative.

The denominator is 12
Hey there!
1/3 is equivalent to 2/6
Here is why:
1 x 2 = 2
3 x 2 = 6
You can do this by cross multiplying 1/3 and 2/6
That's how you get 2/6 as an equivalent fraction.
1/3 is also equivalent to 3/9
Here is why:
3 x 1 = 3
3 x 3 =9
You can also do this by cross multiplying 1/3 and 3/9
That's how you get 3/9 as an equivalent fraction.
There are also many other fractions that are equal to 1/3, but these are the first two.
Hope this helps you.
Have a great day!
Answer:
350% mark up
Step-by-step explanation:
To find the percent markup
Take the new price and subtract the original price
72-16 =56
Then divide by the original amount
56/16
3.5
Change to percent form
350%
Answer: The last option.
Step-by-step explanation:
1. By definiton, the rotation rule 90° about the origin is:
(x,y)⇒(-y,x)
2. You know that the coordinates of triangle X'Y'Z' are the following:
X'(-2,2)
Y'(0,6)
Z'(1,1)
3. Now, when you apply the rule, you obtain that the coordianates of the pre-image are the following:
X(2,2)
Y(6,0)
Z(1,-1)
Therefore, the answer is the last option.