Question 2

Mathematics

1 answer:

xz_007 [3.2K]3 years ago

6 0

The correct answer is: x = 8 (Option D)

Explanation:

Given ΔABC≅ΔDFE (Triangle ABC is congruent to triangle DFE).

It means that angle B is congruent to angle F, and C is congruent to E ( likewise A is congruent to D). By using this argument, we can say that, BC≅FE. Consequently, we can safely say that the lengths of those sides are also equal in measure. Therefore,

BC = 20

FE = 3x - 4

Since,

BC = FE (By using congruence statement mentioned above)

20 = 3x - 4

3x = 20+4

3x = 24

x = 8

Hence the correct answer is: x = 8

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