Q+12-2q+44=0
-q=-44-12
q=56
Answer:
The measure of angle K is 118°
Step-by-step explanation:
The sum of the internal angles of a quadrilateral is 360°. So, in this case, we can formulate the following equation:
K + L + M + J = 360°
Where K, L, M, and J represent the measure of the angle K, L, M and J respectively.
From the figure we know that: L is 46°, M is 118° and J is 78°. Replacing these values on the initial equation and solving for K we get:
K + 46° + 118° + 78° = 360°
K + 242° = 360°
K = 360° - 242°
K = 118°
So, the measure of angle K is 118°
Hope this helps :)
Answer:
41/6
Step-by-step explanation:
Take the root of both sides and solve.
Answer: d = 40 - 5/2t; 1995
Hope it helps :)
Answer: ![x^2+\frac{1}{2}x+\frac{1}{16}=2 +\frac{1}{16}](https://tex.z-dn.net/?f=x%5E2%2B%5Cfrac%7B1%7D%7B2%7Dx%2B%5Cfrac%7B1%7D%7B16%7D%3D2%20%2B%5Cfrac%7B1%7D%7B16%7D)
Step-by-step explanation:
Given the following Quadratic equation:
![x^2+\frac{1}{2}x=2 +](https://tex.z-dn.net/?f=x%5E2%2B%5Cfrac%7B1%7D%7B2%7Dx%3D2%20%2B)
You can change its formed by Completing the square.
In order to do Complete the square, you can follow these steps:
1. You can identify that:
![b=\frac{1}{2}](https://tex.z-dn.net/?f=b%3D%5Cfrac%7B1%7D%7B2%7D)
2. Then, you can find
. This is:
![(\frac{\frac{1}{2}}{2})^2=(\frac{1}{4})^2=\frac{1}{16}](https://tex.z-dn.net/?f=%28%5Cfrac%7B%5Cfrac%7B1%7D%7B2%7D%7D%7B2%7D%29%5E2%3D%28%5Cfrac%7B1%7D%7B4%7D%29%5E2%3D%5Cfrac%7B1%7D%7B16%7D)
3. Now you must add
to both sides of the Quadratic equation in order to keep the balance. Then:
![x^2+\frac{1}{2}x+\frac{1}{16}=2 +\frac{1}{16}](https://tex.z-dn.net/?f=x%5E2%2B%5Cfrac%7B1%7D%7B2%7Dx%2B%5Cfrac%7B1%7D%7B16%7D%3D2%20%2B%5Cfrac%7B1%7D%7B16%7D)
4. Finally, simplifying by actoring and adding the like terms, you get:
![(x+\frac{1}{4})^2=\frac{9}{4}](https://tex.z-dn.net/?f=%28x%2B%5Cfrac%7B1%7D%7B4%7D%29%5E2%3D%5Cfrac%7B9%7D%7B4%7D)