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Vera_Pavlovna [14]
2 years ago
11

2. Draw the image of ∆RST under the dilation with scale factor ⅓ and center of dilation at the origin. Label the image ∆R’S’T’.

Mathematics
1 answer:
Alchen [17]2 years ago
6 0
Since center of dilation is the origin, this is easy. Just divide all of the x and y coordinate values by 3. Place the new point on the graph, and draw the triangle.

R' = R(3,6)/3 = (3/3,6/3)=(1,2). So R'(1,2)
S' = S(-3,6)/3 = (-3/3,6/3)=(-1,2). So S'(-1,2)
T' = T(-6,-6)/3 = (-6/3,-6/3)=(-2,-2). So T'(-2,-2)

So you now know the location of the 3 new points. R' at (1,2), S' at (-1,2) and T' at (-2,-2). Simply draw those 3 points on your graph and connect the lines to make a new triangle.

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Ira Lisetskai [31]

The width of rectangle is 30, and the length is 69.

<h3>What is Rectangle?</h3>

A rectangle is a quadrilateral. The opposite sides of a rectangle are equal and parallel to each other. The interior angle of a rectangle at each vertex is 90°. The sum of all interior angles is 360°. The diagonals bisect each other.

Here, lets say x is equal to the width of the room

then, that means the length is (9+2x) So,

              198 = 2x+2(9+2x)

Using the distributive property, we know that

                 2(9+2x)=18+4x

If you don't know what that is, then go search it up :/

so,

               198 = 2x+18+4x

                198=6x+18

                 180=6x

                  30=x

Now, we know that the width is 30,

That means the length is 60+9, Which is 69.

Thus, the width of rectangle is 30, and the length is 69.

Learn more about Rectangle from:

brainly.com/question/15019502

#SPJ1

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