Answer: The scale factor of ABC to DEF is 5.
Explanation:
Knowing that the side ratios are the same because the triangles are similar, you can use ratios to solve for x and y.
Side AB and Side DE are similar. The former has a length of 3 and the latter has a length of 15, which means that the triangle on the right is 5 times larger than the triangle on the left.
Using this information, you can solve for x by dividing 38.5 by 5.
X = 7.7.
You can then multiply 8 by 5 to solve for y, so y = 40.
X = 7.7, y = 40.
Scale factor is 5.