Answer:
Option D: mGE = 190°
Step-by-step explanation:
From the property of angles of secant and tangent lines, we have:
DBG = (mGE - mDG)/2
(That is, the angle in point B is half the difference of the larger arc by the smaller arc defined by the lines)
So, we have that:
58 = (mGE - 74)/2
2*58 = mGE - 74
mGE = 116 + 74 = 190°
So we have that mGE is equal to 190°, correct option: D.
Answer:
2.718 28...
Step-by-step explanation:
the value of e use in solving logarithm is 2.718
20.25-9(1/2)+11
=20.25-4.5+11
=26.75
Angular velocity = 300 revolutions per minute
1 revolution = 2π radians.
So, we can write:
Angular velocity = 300 x 2π radians per minute = 600π radians per minute
1 minute = 60 seconds.
So,
Angular velocity = 600π radians per 60 seconds
⇒
Angular velocity = 10π radians per second
Angular velocity = 31.42 radians per second
Thus, rounding of to nearest hundredth, the angular velocity will be 31.42 radians per second.
Answer:
AC = 25 units
Step-by-step explanation:
Given ∠ A = ∠ C then the triangle is isosceles and BC = AB , that is
7x - 1 = 5x + 5 ( subtract 5x from both sides )
2x - 1 = 5 ( add 1 to both sides )
2x = 6 ( divide both sides by 2 )
x = 3
Then
AC = 6x + 7 = 6(3) + 7 = 18 + 7 = 25 units
