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docker41 [41]
3 years ago
11

What is the value of x in the diagram?

Mathematics
1 answer:
Ksenya-84 [330]3 years ago
3 0
The red arrows mean the lines are parallel. Since all angles are equal, the larger triangle is similar to the smaller one. Then corresponding sides have the same ratio
(4x -2)/9 = (3x+2)/12
x(4/9 -3/12) = (2/12) +(2/9)
x = (7/18)/(7/36) = 2 . . . . . . . . . corresponding to the 3rd selection
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