Yes, since the other two numbers on each side are the same, any number can fit well in this equation.
I don’t see what your asking, theres no question. This is a statement.
Answer:
Angle STR = 78°
Step-by-step explanation:
So, since line QS is a straight line, we know that it's 180°. We also know that angles QTR and STR both add up to 180°. That gives us an equation:
20x + 12 + 10x + 33 = 180
Combine like terms
30x + 45 = 180
Subtract 45 from both sides
30x = 135
Divide both sides by 30
x = 4.5
Now we know the value of x. We just need to plug it into angle STR's given value:
10(4.5) + 33 = angle STR
45 + 33 = angle STR
78° = angle STR
Answer:
![x=-\frac{7}{6}\\x=\frac{1}{6}](https://tex.z-dn.net/?f=x%3D-%5Cfrac%7B7%7D%7B6%7D%5C%5Cx%3D%5Cfrac%7B1%7D%7B6%7D)
Step-by-step explanation:
The equation to solve is:
![(x+\frac{1}{2})^2=\frac{4}{9}](https://tex.z-dn.net/?f=%28x%2B%5Cfrac%7B1%7D%7B2%7D%29%5E2%3D%5Cfrac%7B4%7D%7B9%7D)
To get rid of the "square", we need to take square root of both sides:
![\sqrt{(x+\frac{1}{2})^2}=\sqrt{\frac{4}{9}}\\x+\frac{1}{2}=\frac{\sqrt{4}}{\sqrt{9}}](https://tex.z-dn.net/?f=%5Csqrt%7B%28x%2B%5Cfrac%7B1%7D%7B2%7D%29%5E2%7D%3D%5Csqrt%7B%5Cfrac%7B4%7D%7B9%7D%7D%5C%5Cx%2B%5Cfrac%7B1%7D%7B2%7D%3D%5Cfrac%7B%5Csqrt%7B4%7D%7D%7B%5Csqrt%7B9%7D%7D)
Then we use algebra to find the value(s) of x. Remember, when we take square root, we have to add up a "+-" (on the right side). Shown below:
![x+\frac{1}{2}=+-\frac{\sqrt{4}}{\sqrt{9}}\\x+\frac{1}{2}=+-\frac{2}{3}\\x=\frac{2}{3}-\frac{1}{2}=\frac{1}{6}\\x=-\frac{2}{3}-\frac{1}{2}=-\frac{7}{6}](https://tex.z-dn.net/?f=x%2B%5Cfrac%7B1%7D%7B2%7D%3D%2B-%5Cfrac%7B%5Csqrt%7B4%7D%7D%7B%5Csqrt%7B9%7D%7D%5C%5Cx%2B%5Cfrac%7B1%7D%7B2%7D%3D%2B-%5Cfrac%7B2%7D%7B3%7D%5C%5Cx%3D%5Cfrac%7B2%7D%7B3%7D-%5Cfrac%7B1%7D%7B2%7D%3D%5Cfrac%7B1%7D%7B6%7D%5C%5Cx%3D-%5Cfrac%7B2%7D%7B3%7D-%5Cfrac%7B1%7D%7B2%7D%3D-%5Cfrac%7B7%7D%7B6%7D)
So these are 2 answers for x.
2:7 = 4:14 because each is equal to 2/7. If you simplify 4:14 by dividing by 2, it simplifies to 2:7.