I got this picture from photomath, hope it helps
By definition, the arc length is given by:
arc = R * theta * ((2 * pi) / 360)
Where,
theta: angle in degrees
R: radio
We have then:
(Arc) QPT if <QZT = 120:
theta = 360-120 = 240 degrees
R = 13.5 units
Substituting values we have:
(Arc) QPT = R * theta * ((2 * pi) / 360)
(Arc) QPT = (13.5) * (240) * ((2 * pi) / 360)
(Arc) QPT = 56.55 units
Answer:
(Arc) QPT = 56.55 units
Find : Which statements are always true regarding the triangle
m∠5 + m∠3 = m∠1
m∠3 + m∠4 + m∠5 = 180°
m∠5 + m∠6 =180°
m∠2 + m∠3 = m∠6
m∠2 + m∠3 + m∠5 = 180°
Solution:
External angle of triangle = Sum of opposite interior angles
m∠1 = m ∠3 + m∠5
m∠4 = m ∠2 + m∠5
m∠6 = m ∠2 + m∠3
Just divide 40.25 by 3.5. You get 11.5. So his pay rate is 11.5 every hour.
I hope this helps :)
