Try this explanation, note that csc(x)=1/sin(x); cot(x)=cos(x)/sin(x).
The 2 interior angles add to the exterior angle
26+13=x
39=x
x=39°
because
remember, all angles add to 180
26+13+BCA=180
39+BCA=180
minus 39 both sides
BCA=141
look, we want x
BC is a striaign line which is 180
BCA+x=180
141+x=180
minus 141 from both sides
x=39°
Answer:
1. PQ
2. PR
3. OR/OP
4. OR/OP
5. RO
Step-by-step explanation:
15 mi/h= 15mi/60 min= 1/4 (mi/min)
x is original speed (mi/min)
t is original time
x*t =260
(x+1/4)=5x/4 is new speed
t-20 - new time
(x+1/4)(t-20)=260
xt = (x+1/4)(t-20)
xt=xt + t/4 - 20x - 5
t/4=20x+5
t=80x +20
We can substitute t=80x +20 into equation x*t =260
x*(80x+20)=260
80x²+20x-260=0
4x²+x-13=0
D=b² - 4ac = 1+4*4*13= 209
x=(-1+/-√209)/2*4
x=1.68 mi/min
1.68mi/min * 60 min/1h≈100 mi/h
Check
260/100=2.6h time with old speed
260/(115)=2.26 h time with new speed
2.6-2.26 = 0.34 h difference between old and new time
0.34h*60min/1h≈20 min difference between old and new time in minutes
Answer:
h= 2/3d
Step-by-step explanation:
slope is the change of y value on the change of x value
4/6 = 2/3