Step-by-step explanation:
CDE = 2x, DEF = x
hexagon = 720°
720 = 115 + 145 + 160 + 90 + 2x + x
720 = 3x + 510
720 - 510 = 3x
210 = 3x
x = 210 ÷ 3
x = 70°
CDE = 2x
= 2(70)
= 140°
Answer:
y=216
Step-by-step explanation:
y/2=108
y=216
Answer:
x=-7/3y+4
Step-by-step explanation:
3x+7y=12
-7y -7y
3x=-7y+12
/3 /3
x=-7/3y+4
Answer:
8.5pi
Step-by-step explanation:
We can solve this problem with a rule of three.
The area of the whole circle is represented by a sector with central angle of 2*pi. So, if we want to find the area of a sector that has a central angle of 17pi/9, we can use the following logic:
sector of 2pi -> area equal to 9pi
sector of 17pi/9 -> area equal to X
2pi / (17pi/9) = 9pi / X
18 / 17 = 9pi / X
X = 17 * 9pi / 18 = 17pi / 2 = 8.5pi