Write a compound inequality: a quantity of x is greater than 10 and less than 20
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1) We are given a hexagon there.
Sum of all angles of a hexagon is 720.
Therefore, sum of all angles inside pentagon =720.
We can step an equation as
x+100+102+108+121 = 720.
Adding 100+102+108+121, we get 431.
Therefore,
x+431 = 720.
Subtracting 431 from both sides, we get
x+431-431 = 720-431
x=289.
Therefore, measure of unknown angle x= 289 degrees.
2) Coordinates of the vertices of the given triangle
(-2,-9)
(7,-4)
(9,-7).
We need to graph the reflected triangle across the y-axis.
For reflected triangle across the y-axis we can apply rule
(x,y) --> (-x,y)
By applying above rule, we get the coordinates of reflected triangle as
(-2,-9) --> (2,-9)
(7,-4) --> (-7,-4)
(9,-7) --> (-9,-7).
Now, we can plot those coordinates on the graph and join the coordinates to form a triangle.
