Answer:
1. ~ ABC = 180 degrees
2. AB/AD = BC/AC
3. 3/9 = x/6
4. x = 2
5. The scale factor of ADE to ABC is 1:2.
Explanation:
1. ~ABC = 180 degrees means that the sum of all the angles of a triangle add up to 180 degrees.
2. AB/AD = BC/AC means that if two sides of a triangle are divided by another side, the ratio will be the same for both sides of the triangle.
3. 3/9 = x/6 means that if you divide 3 by 9, you can find out what x is when it is divided by 6.
4. x = 2 means that when 3 is divided by 9 and the result is divided by 6, the answer is 2.
5. The scale factor of ADE to ABC is 1:2 means that ADE is twice the size of ABC and all related measurements between the two triangles are in a proportion of 1:2.