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Graph the image of the given triangle, reflected across the y-axis. Select the Polygon tool. Then, click the points of the triangle vertices to create the triangle by connecting the sides.



Solve for x.



Enter your answer in the box.

Graph the image of the given triangle reflected across the yaxis Select the Polygon tool Then click the points of the triangle vertices to create the triangle b class=
Graph the image of the given triangle reflected across the yaxis Select the Polygon tool Then click the points of the triangle vertices to create the triangle b class=

Respuesta :

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.

Ver imagen PiaDeveau

Answer:

First part :

By the given graph,

The vertices of the given triangle ABC ( let ),

A(7, -4), B(-2, -9) and C(9, -7),

∵ The rule of reflection across y-axis,

[tex](x,y)\rightarrow (-x,y)[/tex]

Thus, the vertices of transformed triangle A'B'C' would be,

A'(-7,-4), B'(2, -9) and C'(-9,-7),

By plotting the points in the given graph then joining them we will obtain the image of the given triangle,

( shown below ),

Second Part :

The sum of all interior angles of a hexagon is 720°,

Thus, by the given diagram,

x° + 121° + 108° + 102°+ 100° = 720°,

x° + 431° = 720°

⇒ x° = 720° - 431 = 289°,

Hence, the value of x would be 289

Ver imagen slicergiza

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