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In-s [12.5K]
3 years ago
5

A. 39 B. 55 C. 66 D. 82

Mathematics
1 answer:
kherson [118]3 years ago
8 0

Answer:

D) 82 units

Step-by-step explanation:

ΔBCD ≅ ΔEFG

In congruent triangles, corresponding parts are congruent

BD  = EG

4x - 9 = 2x + 15

4x - 9 -2x = 15

2x - 9 = 15

    2x = 15 +9

    2x = 24

      x = 24/2

      x = 12

EG =  2x + 15 = 2*12 + 15

     = 24 + 15

EG = 39 units

FE = CB =   17 units

Perimeter of ΔEFG = FE + EG + GF

                               = 17 + 39 + 26

                               = 82 units

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