Answer:
Personal items=15
Step-by-step explanation:
We are given:
Total number of artifacts = 72.
We are told that 2/3 of total artifacts are shards of pottery.
We are also told that 1/8 of total artifacts are tools.
Now we will find out number of personal items by subtracting combined number of shards of pottery and tools from total number of artifacts.
Therefore, there are 15 personal items.
So for the rhombus to carry onto itself, it needs to start in one position and end up in that same position. In this case, (x,y) will need to end up on (x,y) after the reflections are done. Here what the options do:
A: y-axis, x-axis, y-axis
(x,y) -> (-x,y) -> (-x,-y) -> (x,-y)
B: x-axis, y-axis, y-axis
(x,y) -> (x,-y) -> (-x,-y) -> (x,-y)
C: y=x, x-axis, y=x, y-axis
(x,y) -> (y,x) -> (y,-x) -> (-x,y) -> (x,y)
D: x-axis, y=x, x-axis, y=x
(x,y) -> (x,-y) -> (-y,x) -> (-y,-x) -> (-x,-y)
The only option that starts as (x,y) and ends as (x,y) is C: y=x, x-axis, y=x, y-axis, therefore making that the correct answer.
