16x - 4 + 58 + 9x - 6 = 180
25x + 48 = 180
25x = 132
x = 5.28
Answer:
p > 5 and p <-8
Step-by-step explanation:
To solve this, you first need to isolate p.
First add 6 on both sides of the equation:
![-6 + |2p+3| >7\\\\(+6) -6 + |2p+3| >7 +6\\\\2p + 3 > 13](https://tex.z-dn.net/?f=-6%20%2B%20%7C2p%2B3%7C%20%3E7%5C%5C%5C%5C%28%2B6%29%20-6%20%2B%20%7C2p%2B3%7C%20%3E7%20%2B6%5C%5C%5C%5C2p%20%2B%203%20%3E%2013)
Then subtract 3 from both sides of the equation.
![2p+3-3>13-3\\\\2p > 10\\](https://tex.z-dn.net/?f=2p%2B3-3%3E13-3%5C%5C%5C%5C2p%20%3E%2010%5C%5C)
The divide both sides by 2.
![\dfrac{2p}{2}>\dfrac{10}{2}\\\\p>5](https://tex.z-dn.net/?f=%5Cdfrac%7B2p%7D%7B2%7D%3E%5Cdfrac%7B10%7D%7B2%7D%5C%5C%5C%5Cp%3E5)
Another solution is possible because of the absolute value.
If ![|2p+3|>13](https://tex.z-dn.net/?f=%7C2p%2B3%7C%3E13)
Then ![|2p+3|](https://tex.z-dn.net/?f=%7C2p%2B3%7C%3C-13)
<em>Thus we can solve the second solution:</em>
![|2p+3|](https://tex.z-dn.net/?f=%7C2p%2B3%7C%3C-13)
![2p+3](https://tex.z-dn.net/?f=2p%2B3%3C-13)
Isolate P again by subtracting both sides by 3
![2p+3-3](https://tex.z-dn.net/?f=2p%2B3-3%3C-13-3)
![2p](https://tex.z-dn.net/?f=2p%3C-16)
Then divide both sides by 2:
![\dfrac{2p}{2}](https://tex.z-dn.net/?f=%5Cdfrac%7B2p%7D%7B2%7D%3C-%5Cdfrac%7B16%7D%7B2%7D)
![p](https://tex.z-dn.net/?f=p%3C-8)
Answer:
1.5<x<4 i hope this is right sorry if its not
Step-by-step explanation:
Answer:
I believe the answer is n/3 + 15n.
Notice that if we add the 3 angles in the image, the outcome should be an angle of 180° (the one of the line alone)
With this, we will found that the answer is k = 13
Let's do the math, for the initial information we can write:
(4k - 7)° + 90° + (3k + 6°) = 180°
Where the 90° comes from the right angle, the one written with a little square.
Now we can solve this for k
(4k - 7)° + 90° + (3k + 6°) = 180°
(4k + 3k)° + (-7° + 90° + 6°) = 180°
7°k + 89° = 180°
7°k = 180° - 89° = 91°
k = 91°/7° = 13
So we found that the value of k is 13.
If you want to learn more, you can read:
brainly.com/question/13690593