If the following triangles are similar solve for x

x = 16

Step-by-step explanation:

Given that ∆EFG ~ ∆ABC, therefore the ratio of the their corresponding sides would be equal.

Thus:

EG/AC = EF/AB

EG = 756

AC = (45x - 76)

EF = 1107

AB = 943

Plug in the values into the equation

756/(45x - 76) = 1107/943

Cross Multiply

756*943 = (45x - 76)*1107

712,908 = 49,815x - 84,132

712,908 + 84,132 = 49,815x

797,040 = 49,815x

797,040/49,815 = x

16 = x

x = 16

-6 is the correct option from the above given options