smileflcwer
smileflcwer smileflcwer
  • 01-02-2021
  • Mathematics
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ACFG is a parallelogram, If AG = 2x + 10 and CF = 5x – 2, find CF.

ACFG is a parallelogram If AG 2x 10 and CF 5x 2 find CF class=

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ProfChris1
ProfChris1 ProfChris1
  • 06-02-2021

Answer:

d. 18

Step-by-step explanation:

Lengths AG and CF of the parallelogram are equal.

i.e AG = CF

where AG = 2x + 10

          CF = 5x -2

→ 2x + 10 = 5x-2

(collecting like terms): 5x - 2x = 10 + 2

→ 3x = 12

x=12÷3 = 4

∴ CF = 5x -2 = 5(4) -2 = 20 - 2 = 18

∴ CF = 18 (answer)

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