ACFG is a parallelogram, If AG = 2x + 10 and CF = 5x – 2, find CF.
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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)