Answer:

Step-by-step explanation:
In the question you said the slope was 1/4 so i put that in then tried to figure out what would make it eqaul the point which was the one and a half.
This is because Nate is isolating the variable. For example, in the equation 10x=40, you would divide both sides by 10 in order to get the variable by itself, just as Nate did. Nate is also performing the inverse operation, which allows for one to undo/unravel the question to find the answer.
The tablecloth would have to be 4 feet wide to use all of the fabric. 30=7.5x is the equation to solve this problem. You need to use reverse operations, so 30/7.5=4.
<em>The</em><em> </em><em>right</em><em> </em><em>answer</em><em> </em><em>is</em><em> </em><em>3</em><em>2</em><em>/</em><em>3</em><em>1</em>
<em>pl</em><em>ease</em><em> </em><em>see</em><em> the</em><em> attached</em><em> picture</em><em> for</em><em> full</em><em> solution</em>
<em>Hope </em><em>it</em><em> helps</em>
<em>Good</em><em> </em><em>luck</em><em> on</em><em> your</em><em> assignment</em>
There are two triangles here: ABC and ADF. These triangles are similar, and thus proportional. So, we can set up a proportion between the left side of each triangle and the base of each triangle.
AB / AD = BC / DE
4 / (4 + BD) = 5 / 9
---AD is made up of AB and DB. We know AB, but not BD, so we need to find its value to find the length of AD.
5(4 + BD) = 9 x 4
20 + 5BD = 36
5BD = 16
BD = 3.2
AD = AB + BD
AD = 4 + 3.2
AD = 7.2
Hope this helps!