What would be the missing angle?

I need this fast!........................

Schach [20]

Answer: $(2,2)$

Step-by-step explanation:

1. Substitute $y=0$ into first equation and solve for "x" in order to find the x-intercept of the first line:

$0=-\frac{1}{2}x+3\\\\-3=-\frac{1}{2}x\\\\(-3)(-2)=x\\\\x=6$

2. Substitute $x=0$ into the first equation and solve for "y" in order to find the y-intercept of the first line:

$y=-\frac{1}{2}(0)+3\\\\y=3$

Knowing that first line passes through the points $(6,0)$ and $(0,3)$ , you can graph it.

3. Substitute $y=0$ into second equation and solve for "x" in order to find the x-intercept:

$0=2x-2\\\\2=2x\\\\x=1$

4. Substitute $x=0$ into the second equation and solve for "y" in order to find the y-intercept of the second line:

$y=2(0)-2\\\\y=-2$

Knowing that second line passes through the points $(1,0)$ and $(0,-2)$ , you can graph it.

The solution of the system of equations is the point of intersection between the lines. Therefore, the solution of this system is:

$(2,2)$

7 0

3 years ago

Pls help this is confusing :/

Aleksandr [31]

The coordinates of triangle U'V'W' include U'(8, 3), V'(4, -8) and W'(-8, -6) and this is represented by graph A shown in the image attached below.

<h3>What is a transformation?</h3>

A transformation can be defined as the movement of a point on a cartesian coordinate from its original (initial) position to a new location.

<h3>The types of transformation.</h3>

In Geometry, there are different types of transformation and these include the following:

Dilation

Reflection

Rotation

Translation

Based on the information provided, triangle UVW would be rotated counterclockwise through an angle of 270 degree at origin to produce triangle U'V'W', we have:

$\left[\begin{array}{ccc}0&1\\-1&0\end{array}\right]$

Therefore, the image of triangle UVW would be given by this matrix:

$\left[\begin{array}{ccc}0&1\\-1&0\end{array}\right]$ $\left[\begin{array}{ccc}-3&8&6\\8&4&-8\end{array}\right]$

Image = $\left[\begin{array}{ccc}8&4&-8\\3&-8&-6\end{array}\right]$

Based on the image above, we can logically deduce that the coordinates of triangle U'V'W' include U'(8, 3), V'(4, -8) and W'(-8, -6) and this is represented by graph A shown in the image attached below.

Read more on transformations here: brainly.com/question/12518192

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