Answer:
The value of x = 14 ...
The value of ∠AED = ( 7x + 15) = 7(14) + 15 = 113
The value of ∠AEB = 5x-3 = 5(14) -3 = 67
Step-by-step explanation:
=> ∠BEC = ∠AED { vertically opposite angles }
∠AED = (7x + 15)°
=> ∠AEB + ∠BEC = 180° { linear pair }
=> ( 5x-3) + ( 7x+15) = 180°
=> 5x -3 + 7x + 15 = 180°
=> 12x + 12 = 180°
=> 12( x +1 ) = 180°
=> x+1 = 180/12
=> x +1 = 15
=> x = 15-1
=> x = 14
Answer:
52 yd
Step-by-step explanation:
The formula for arc length is s = rФ, where r is the radius and Ф is the central angle in radians.
Here the central angle is 300° and the radius is 10 yd.
Convert 300° to radians:
π rad
Multiply 300° by the conversion factor ------------
180°
obtaining
(300/180)π = 5.2 rad
Then the arc length is s = rФ = (10 yd)(5.2 rad) = 52 yd
Answer:
63:147
Step-by-step explanation:
Because 3*21= 63 and 7*21= 147
Answer:
44cm
Step-by-step explanation:
Formula of circumference of circle: C = 2πr
Since C = 88π
⇒ 88π = 2πr
⇒ r = 88π/2π
⇒ r = 44cm
