Equation practice with angle addition hlp

∠AOB = 139°

Step-by-step explanation:

The 2 angles form a straight angle and sum to 180°, that is

∠AOB + ∠BOC = 180 ← substitute values

8x + 51 + 6x - 25 = 180, that is

14x + 26 = 180 ( subtract 26 from both sides )

14x = 154 ( divide both sides by 14 )

x = 11

Hence

∠AOB = 8x + 51 = (8 × 11) + 51 = 88 + 51 = 139°

x equals 1

step-by-step explanation:

f(4)=f(×)

x=1

d 25 pi/6

step-by-step explanation:

the diameter is 10 inches

the radius is 1/2 of the diameter or 5 inches

the area of the circle is

a = pi r^2

  = pi 5^2

  = 25 pi

the slice is 60 degrees of the entire circle.

60 degrees out of 360   60/360 = 1/6

the area of the slice is 1/6 of the circle

a slice = 1/6 a circle

a slice = 1/6 * 25 pi