Answer:
Zero Property of Addition
Step-by-step explanation:
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9520/560000 * 790000 = <span>13430 in taxes</span>
Answer:
B. 6√2
Step-by-step explanation:
We can use the Pythagorean Theorem to solve this out. The Pythagorean Theorem states that for any right triangle with the shortest sides (called legs) as a and b and the longest side (called the hypotenuse) as c:
a² + b² = c²
Here, a = b = 6, so:
6² + 6² = c²
36 + 36 = c²
72 = c²
c = √72 = 6√2
Now, we see the answer is B.
However, there's a trick to solving these kinds of problems. Notice that DEF is both an isosceles triangle and a right triangle. We call these 45-45-90 triangles because those are the angles of the triangle.
One characteristic of these types of triangles is that their leg to leg to hypotenuse ratio is 1 : 1 : √2, always. We could apply that here. We see that the legs are 6, so we could find the hypotenuse simply by multiplying 6 by √2, and we would get 6√2, which is exactly the value we obtained above.
Thus, the answer is B.
If you would like to know the mean of the data set, you can calculate this using the following steps:
The <span>mean </span><span>of the data set is the sum of all the data values divided by the number of these values.
</span><span> </span>
<span>12, 17, 16, 10, 20, 13, 14, 14, 12, 12, 19, 18
</span>
<span>12 + 17 + 16 + 10 + 20 + 13 + 14 + 14 + 12 + 12 + 19 + 18 = 177
</span>the number of data values: 12
177 / 12 = 14.75
The correct result would be B. 14.75.