Answer:
x = 50
GI = 72
ET = 56
Step-by-step explanation:
Corresponding sides of similar triangles PIG and LET are proportional.
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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
