Answer:
x = 8
Step-by-step explanation:
m<PQR = (2x + 6)°
m<RPQ = (x - 7)°
m<QRS = (5x - 17)°
<PQR and <RPQ are interior angles opposite to the exterior angle <RPQ.
Therefore,
m<PQR + m<RPQ = m<QRS (Exterior Angle Theorem of a Triangle)
Substitute in the values
2x + 6 + x - 7 = 5x - 17
Add like terms
3x - 1 = 5x - 17
Collect like terms
3x - 5x = 1 - 17
-2x = -16
-2x/-2 = -16/-2
x = 8
Sounds like 10.0 ft refers to the height/diameter of the wheel, in which case its radius is 5.0 ft.
In one complete revolution, a point on the edge of the wheel travels 2π*(5.0 ft) = 10π ft, so the point's linear speed (and thus the current's speed) is
(5.0 rev/min) * (10π ft/rev) = 50π ft/min
Convert this to mi/h using
1 mi = 5280 ft
1 h = 60 min
==> (50π ft/min) * (1/5280 mi/ft) * (60 min/hr) = 1.8 mi/h
Answer:
25 people
Step-by-step explanation: 6 x 5 = 30 30-5 = 25
Answer:
i need this one to but cant figure it out
Step-by-step explanation:
5 options for the first frame. Then 4 options for the second. Multiply number of options for the first frame by the number of options for the second:
5*4 = 20