Answer:
x = 17
Step-by-step explanation:
The two angles with measures form a linear pair and are supplementary.
The measures of supplementary angles has a sum of 180°.
If you add the two given measures, the sum must equal 180°.
4x + 2 + 110 = 180
4x + 112 = 180
4x = 68
x = 68/4
x = 17
To reduce a fraction, divide the numerator and the denominator equally until they reach the simplest whole number possible.
In this case, the numerator (720) and the denominator (1080) can both be divided by 360 to get 2/3, our reduced fraction.
Answer:
The two points solutions to the system of equations are: (2, 3) and (-1,6)
Step-by-step explanation:
These system of equations consists of a parabola and a line. We need to find the points at which they intersect:
![x^2-2x+3=-x+5\\x^2-2x+x+3-5=0\\x^2-x-2=0\\(x-2)(x+1)=0](https://tex.z-dn.net/?f=x%5E2-2x%2B3%3D-x%2B5%5C%5Cx%5E2-2x%2Bx%2B3-5%3D0%5C%5Cx%5E2-x-2%3D0%5C%5C%28x-2%29%28x%2B1%29%3D0)
Since we were able to factor out the quadratic expression, we can say that the x-values solution of the system are:
x = 2 and x = -1
Now, the associated y values we can get using either of the original equations for the system. We pick to use the linear equation for example:
when x = 2 then ![y=-(2)+5=3](https://tex.z-dn.net/?f=y%3D-%282%29%2B5%3D3)
when x= -1 then ![y=-(-1)+5=6](https://tex.z-dn.net/?f=y%3D-%28-1%29%2B5%3D6)
Then the two points solutions to the system of equations are: (2, 3) and (-1,6)
There's my answer
25/100
27/108
31/124
these three equal 1/4 or 1:4
I hope that right