For the dilation with center (0,0) shown on the graph, your friend says the scale factor is . What is the correct scale factor? What mistake did your friend likely make?

5/7

Step-by-step explanation:

read the graph

Step-by-step explanation:

From the given figure:

Coordinates of Pre-image triangle ABC are:

A (0, 5), B(-5, 0) and C(5, -5)

and

Coordinate of image triangle A'B'C' are;

A'(0, 2), B'(-2, 0) and C'(2, -2)

The rule of dilation with scale factor k and centered at the origin is given by;

(x,y) ---> (kx,ky)

To find k;

A'(0, 2) = A'(0, 5k)

Comparing both sides we get;

5k = 2

k=2/5

Therefore, the correct scale factor is 2/5

He did mistakes in transformations i.e a huge mistake mathematically.

he used the algebra tiles correctly.

step-by-step explanation:

given : 3x(2x-1)

solution :

since he used algebra tiles .

armando's solution is the same in the solution shown in figure

as he distributed 2x into x and x and wrote them vertically

and also write   -1 vertically

and 3x into x and x and x and wrote it horizontally

performing the multiplication in the algebra tiles we get

and solving the given expression :

3x(2x-1)

since solving the expression using tiles   and solving the expression algebraically we get the same answer

thus   we can choose the first statement as the answer to this problem which is "he used the algebra tiles correctly".

sas (side angle side)

aa (angle angle)

sss(side side side)

sas find two sides with an angle in between

aa is finding two angles and the third will add up to 180

sss find all sides

step-by-step explanation: