What is the scale factor & the value of x & y?

x = 6

y = 5.2

Step-by-step explanation:

The sides measuring 10 and 4 units are corresponding sides, so you can find the scale factor using these two sides.

scale factor = (new length)/(old length)

The larger triangle is the original triangle. The smaller triangle is the image. That means the larger triangle has the old or original lengths, and the smaller triangle has the new lengths.

scale factor = 4/10 = 0.4

The scale factor from the larger triangle to the smaller triangle is 0.4, so multiply each length of the larger triangle by 0.4 to find the corresponding length in the smaller triangle.

x = 15 * 0.4 = 6

y = 13 * 0.4 = 5.2