Answer:
B. One solution
Step-by-step explanation:
subtract 12 from both sides
![3x=18-12](https://tex.z-dn.net/?f=3x%3D18-12)
subtract 12 from 18
![3x=6](https://tex.z-dn.net/?f=3x%3D6)
divide each term by 3
![\frac{3x}{3} =\frac{6}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B3x%7D%7B3%7D%20%3D%5Cfrac%7B6%7D%7B3%7D)
![x=\frac{6}{3}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B6%7D%7B3%7D)
divide 6 by 3
![x=2](https://tex.z-dn.net/?f=x%3D2)
Answer:
x = 32°
Step-by-step explanation:
The consecutive angles in a parallelogram are supplementary.
∠ A and ∠ D are consecutive angles, then
131 + 17 + x = 180
148 + x = 180 ( subtract 148 from both sides )
x = 32°
Answer:
<em>p</em> = 2
Step-by-step explanation:
Happy to help.
When we have numbers in parenthesis, we generally want to deal with those first. However, we can hit a rough patch when a variable is in there. Consider this:
2(3 + 4) = 2(7), or 14.
But, the two can also be distributed into both numbers in the parenthesis, like this:
2(3 + 4) = 2*3 + 2*4
That leaves us with the same answer—14! We can apply this to a variable, and that will help us figure out 9(<em>p</em> - 4), or the left side of your equation you presented.
9(<em>p</em> - 4) = -18
9*<em>p</em> - 9*4 = -18
9<em>p</em> - 36 = -18
Add 36 on both sides to isolate the variable (in this case, <em>p)</em>
9<em>p</em> = -18 + 36
You can also write it like this; 9<em>p</em> = 36 - 18
9<em>p</em> = 18
Divide 9 to isolate <em>p</em>
<em>p</em> = 2
So, we would get (<em>p</em> = 2). Make sure to practice a few more questions like these to really get the hang of it—you'll be using this a lot in the future!
Good luck!
It doesn’t make any difference whether or not the data is grouped, the mean is the same. So b. false.