The values of x and y from the figure is 9 and 5 respectively
Similarity theorem of triangle
Two triangles are similar if the ratio of the similar sides is equal to a constant. From the given diagrams;
x/(8+4) = 6/8
x/12 =6/8
8x = 6 * 12
8x = 72
Divide both sides by8 to have:
8x/8 = 72/8
x = 9
Similarly;
10+y/x = 10/6
10+y/9 = 10/6
10+y/9 = 5/3
Cross multiply
3(10+y) = 5(9)
30 + 3y = 45
3y = 45-30
3y = 15
y = 5
Hence the values of x and y from the figure is 9 and 5 respectively
Learn more on similar triangles here: https://brainly.com/question/14285697
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