Answer:
1.9
Step-by-step explanation:
The MAD is found by <em>finding the mean, then finding how far each number is to the mean, then finding the mean of that.</em>
The mean is: <em>(1 + 8 + 3 + 1 + 3 + 3 + 7 + 5 + 1 + 3)/10</em> = 35/10 = <em>3.5</em>
The distances of all of the numbers is <em>(absolute value of the difference between 3.5 and the number) </em>: <em>2.5, 4.5, 0.5, 2.5, 0.5, 0.5, 3.5, 1.5, 2.5, 0.5</em>
The mean of those is: <em>(2.5 + 4.5 + 0.5 + 2.5 + 0.5 + 0.5 + 3.5 + 1.5 + 2.5 + 0.5) /10</em> = 19/10 = 1.9
Answer:
Option (4)
Step-by-step explanation:
Slope a line passing through two points and is given by,
m =
Since, blue line is passing through two points (-4, -2) and (0, 4),
Slope of the blue line =
=
Similarly, green line is passing through two points (-4, 1) and (0, -2),
Slope of the green line =
=
Since,
Neither these slopes are opposite reciprocals.
Therefore, both the lines are neither parallel nor perpendicular.
Option (4) will be the correct option.
Answer: 1. 3x+x+16=40
4x+16=40
4x=24
x=6
2. 3x=40-16+x
3x=24+x
2x=24
x=12
3. 16+x= 40-3x
16= 40-2x
-24=-2x
x=12
Step-by-step explanation:
<span>A. triangle P N Q is congruent to triangle N P R by the S A S Congruence Postulate.
Let's take a look at the options and determine which make sense and which doesn't.
A. triangle P N Q is congruent to triangle N P R by the S A S Congruence Postulate.
* This is true. You have a side, a 90 degree angle, and another side. So this is the correct choice.
B. triangle N Q R is congruent to triangle R P N by the S S S Congruence Postulate.
* The problem with this choice is although two triangles are congruent due to the SSS postulate, it's assuming that the diagonals are already congruent. And since our objective is to prove that they're congruent, basing your proof upon their already being congruent is faulty. So this is a bad choice.
C. triangle Q R P is congruent to triangle P N Q by the H L Congruence Theorem.
* The H L Congruence Theorem is true here as well. But it's still assuming that the diagonals (aka the hypotenuse of the right triangle in the H L Congruence Theorem) to already be congruent which is what we're attempting to prove. So this too is a bad choice.
D. triangle Q R P is congruent to triangle P N Q by the S S S Congruence Postulate.
* This is a bad choice for the same reason as option "C" above. Assuming the results of your proof to be true prior to proving it is a bad idea. So this is a bad choice.
Overall, only open "A" works. All of options "B" through "D" assume the congruence of the diagonals prior to actually proving that they're congruent. It's like trying to win an argument with someone by stating "I'll prove that I'm right. Because I'm right, therefore I'm right." Doesn't make a whole lot of logical sense, does it? But that's exactly what "B" through "D" are doing.</span>
Answer:
alright, where's the fraction?