Answer:
3 3/5
Step-by-step explanation:
multiply
To find x:
ON is parallel to LM
8x - 8 = 7x + 4
-7x -7x
1x - 8 = 4
+8 +8
1x = 12
--- ---
1 1
x = 12
8(12) - 8 = 7(12) + 4
96 - 8 = 84 + 4
88 = 88
------------------------------------
To find y:
NM is parallel to OL
x - 5 = 3y - 6
12 - 5 = 3y - 6
7 = 3y - 6
+6 +6
13 = 3y
--- ---
3 3
13/3 = y
Check:
12 - 5 = 3(13/3) - 6
7 = 13 - 6
7 = 7
Answer:
Area segment = 3/2 π - (9/4)√3 units²
Step-by-step explanation:
∵ The hexagon is regular, then it is formed by 6 equilateral Δ
∵ Area segment = area sector - area Δ
∵ Area sector = (Ф/360) × πr²
∵ Ф = 60° ⇒ central angle of the sector
∵ r = 3
∴ Area sector = (60/360) × (3)² × π = 3/2 π
∵ Area equilateral Δ = 1/4 s²√3
∵ The length of the side of the Δ = 3
∴ Area Δ = 1/4 × (3)² √3 = (9/4)√3
∴ Area segment = 3/2 π - (9/4)√3 units²
1/16 * 6 = 6/16 or reduced to 3/8
