Answer:
Side WZ=9
Step-by-step explanation:
Since he two are similar you need to make a ratio of the two parallelograms
The first tells you side FE is 2 and side EH is 3 so write it like this 2/3.
Next you need to do the same thing with the second parallelogram, so you know side XW is 6 but you don't know side WZ so you'd write this one 6/x.
You can do this since FE is similar to XW, because it is the same shape just bigger.
Next you take the two fractions adn set them equal to each other.
2 6
_ = _
3 x
Now cross multiply (2 timesx and 6 times 3)
It should look like this now
2x=18
Now all you have to do is divide by 2.
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Step-by-step explanation:
I hope the picture is visible
:)
In order to develop an equation, let's use the slope-intercept form of the linear equation:
![y=mx+b_{}](https://tex.z-dn.net/?f=y%3Dmx%2Bb_%7B%7D)
Using the points (3, 13.5) and (5, 18.5) from the table, we have:
![\begin{gathered} (3,13.5)\colon \\ 13.5=3m+b \\ (5,18.5)\colon \\ 18.5=5m+b \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%283%2C13.5%29%5Ccolon%20%5C%5C%2013.5%3D3m%2Bb%20%5C%5C%20%285%2C18.5%29%5Ccolon%20%5C%5C%2018.5%3D5m%2Bb%20%5Cend%7Bgathered%7D)
Subtracting the second and the first equation:
![\begin{gathered} 5m+b-(3m+b)=18.5-13.5 \\ 2m=5 \\ m=2.5 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%205m%2Bb-%283m%2Bb%29%3D18.5-13.5%20%5C%5C%202m%3D5%20%5C%5C%20m%3D2.5%20%5Cend%7Bgathered%7D)
Now, finding the value of b:
![\begin{gathered} 13.5=3m+b \\ 13.5=7.5+b \\ b=13.5-7.5 \\ b=6 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%2013.5%3D3m%2Bb%20%5C%5C%2013.5%3D7.5%2Bb%20%5C%5C%20b%3D13.5-7.5%20%5C%5C%20b%3D6%20%5Cend%7Bgathered%7D)
So the equation that represents this table is y = 2.5x + 6
Looking at the options, the correct one is E (none of the above).