Question

Point A(-2,5) is dilated by a scale factor of 3. What is the coordinates of point A. If 3,4,5 are sides of one triangle and 21, 28-and x are the lengths of the corresponding sides, of similar-triangle, what is x?

Answer 1

The coordinates of point A after being dilated by a scale factor of 3 are (-6, 15). The length of x in the similar triangles is 4.

Step-by-step explanation:

The coordinates of point A after being dilated by a scale factor of 3 are (-6, 15). To find the coordinates, we simply multiply the x-coordinate and the y-coordinate of point A by the scale factor. So, (-2) x 3 = -6 and 5 x 3 = 15.

To find the length of x, we can set up a proportion using the given lengths of the sides of the two similar triangles. We have:

(3/21) = (x/28)

Cross multiplying, we get:

21x = 3 x 28

21x = 84

x = 84/21

x = 4

So, the length of x is 4.