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=](https://us-static.z-dn.net/files/d1e/e6b1aa3222f09e6e518eb19c9cc18e6a.png)
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)