Answer:
A reflection about y=x
Step-by-step explanation:
The 4 transformations are
- Translation
- Rotation
- Reflection
- Dilation
Let eliminate which ones won't work.
A translation wouldn't flip the triangle in a different direction after translating it so we won't translate it.
A dilation changes the length for the triangle but the triangles are congruent so we won't dilate it.
A rotation about the orgin wouldn't work nor a specific point so a rotation isnt going to work.
A reflection will work so what will we reflect about.
- Some corresponding coordinates are
- 5,6 and 7,6
- 1,6 and 7,2
- 3,8 and 9,4.
A reflection makes a reflected point equidistant from the line of reflection and their original point is equidistant from line of reflection.
So let find the midpoint of all the points and find a line where all of them are on.
The midpoint respectively are
Let find the line that includes both these points.

So this means our slope is x. The y value corresponds with the x value so the answer is

So the answer is
"A reflection about y=x
Answer:
Table J
Step-by-step explanation:
A direct variation is a simple relationship between x and y.
When you are looking for the direct relationship you should use the formula for it y=kx, or you could just divide y over x (
).
<em><u>Analysing Table F:</u></em>
The relationship between x and y is 4.

The origin is fine and doesn't ruin the relationship.
<em><u>Analysing Table G:</u></em>
The relationship between x and y is 5.

<em><u>Analysing Table H:</u></em>
The relationship between x and y is
.

Like I said before the origin doesn't ruin the relationship so it's fine.
<em><u>Analysing Table J:</u></em>
This one doesn't have a direct relationship between x and y.

Answer:
Mario bought five books.
Step-by-step explanation:
If Mario bought n magazines, then n is the solution of
23.85 = 12.60 + n*2.25
23.85 - 12.60 = n*2.25
11.25 = n*2.25
n = 11.25/2.25
n = 5