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Norma-Jean [14]
3 years ago
14

CAN SOMEBODY PLEASE HELP ME?

Mathematics
1 answer:
lozanna [386]3 years ago
8 0

Answer:

  x = 50

  GI = 72

  ET = 56

Step-by-step explanation:

Corresponding sides of similar triangles PIG and LET are proportional.

__

  GI/PI = ET/LT . . . . . . . . . corresponding sides are proportional

  (x +22)/9 = (x +6)/7 . . . . . using the given values in the proportion

  7(x +22) = 9(x +6) . . . . . . . cross multiply

  7x +154 = 9x +54 . . . . eliminate parentheses

  100 = 2x . . . . . . . . . subtract 7x+54

  50 = x . . . . . . . . divide by 2

 GI = x +22 = 50 +22 = 72

  ET = x +6 = 50 +6 = 56

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