Answer:
Gender and flavor of ice cream
Step-by-step explanation:
Both are supplementary angles.
![\\ \rm{:}\twoheadrightarrow m](https://tex.z-dn.net/?f=%5C%5C%20%5Crm%7B%3A%7D%5Ctwoheadrightarrow%20m%3C3%2Bm%3C4%3D180)
![\\ \rm{:}\twoheadrightarrow 56+x=180](https://tex.z-dn.net/?f=%5C%5C%20%5Crm%7B%3A%7D%5Ctwoheadrightarrow%2056%2Bx%3D180)
![\\ \rm{:}\twoheadrightarrow x=180-56](https://tex.z-dn.net/?f=%5C%5C%20%5Crm%7B%3A%7D%5Ctwoheadrightarrow%20x%3D180-56)
![\\ \rm{:}\twoheadrightarrow x=124](https://tex.z-dn.net/?f=%5C%5C%20%5Crm%7B%3A%7D%5Ctwoheadrightarrow%20x%3D124)
Answer:
![y=0.95x+2.5](https://tex.z-dn.net/?f=y%3D0.95x%2B2.5)
Step-by-step explanation:
we know that
The linear equation in slope intercept form is equal to
![y=mx+b](https://tex.z-dn.net/?f=y%3Dmx%2Bb)
where
m is the slope
b is the y-intercept
<em>Find the slope</em>
The formula to calculate the slope between two points is equal to
![m=\frac{y2-y1}{x2-x1}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7By2-y1%7D%7Bx2-x1%7D)
take the points
(0,2.5) and (100,97.5)
substitute in the formula
![m=\frac{97.5-2.5}{100-0}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B97.5-2.5%7D%7B100-0%7D)
![m=\frac{95}{100}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B95%7D%7B100%7D)
![m=0.95](https://tex.z-dn.net/?f=m%3D0.95)
Find the y-intercept b
we have
![m=0.95](https://tex.z-dn.net/?f=m%3D0.95)
![point\ (0,2.5)](https://tex.z-dn.net/?f=point%5C%20%280%2C2.5%29)
substitute i the linear equation ![y=mx+b](https://tex.z-dn.net/?f=y%3Dmx%2Bb)
![2.5=0.95(0)+b](https://tex.z-dn.net/?f=2.5%3D0.95%280%29%2Bb)
solve for b
![b=2.5](https://tex.z-dn.net/?f=b%3D2.5)
Note It was not necessary to calculate the value of b because the value is given in the table
Remember that the y-intercept is the value of y when the value of x is equal to zero (the y-intercept is the point (0,2.5))
The linear equation is
![y=0.95x+2.5](https://tex.z-dn.net/?f=y%3D0.95x%2B2.5)
Y-5=m(x+2) is the answer in point slope form