What is the scale factor of the dilation

 The required scale factor of dilation is 2.

Step-by-step explanation:  We are given to find the scale factor of dilation shown in the figure.

From the figure, we see that

triangle ABC is dilated to triangle A'B'C', where the co-ordinates of the points A, B, A' and B' are (2, 3), (2, -2), (4, 6) and (4, -4) respectively.

So, the lengths of the sides AB and A'B' can be calculated using distance formula as follows :

We know that

the scale factor of dilation is defined as

Therefore, the scale factor of the given dilation will be

Thus, the required scale factor is 2.

ou would have 12 of each

answer: (c) m∠qpo + (2x + 16)° = 180°

step-by-step explanation:

the opposite angles of a quadrilateral are supplementary.

so, ∠o + ∠q = 180°   and   ∠p + ∠r = 180°

since ∠r = 2x + 16°, we can use substitution as follows:

∠p + ∠r = 180°

∠p + (2x + 16)° = 180°