Write the equation of the first train: x = 12t
Write the equation of the second train: y = -20t+72, assuming the train one is at the origins when t = 0.
Now solve the equation: 12t=-20t+72,
32t = 72, then t = 2.25 hours. The two train meet after 2.25 hours.
Now the equation of the <span>pigeon is like this: x = 48t.
</span>Then for t = 2.25, we get

<span>
The Hyde has flown 108 km when the trains meet.</span>
Step-by-step explanation:
<u>See the missing reasons, in order from top to bottom:</u>
- 1. Definition of rhombus
- 2. Definition of congruent
- 3. Given
- 4. Definition of bisects
- 5. Reflexive property
- 6. SSS (three sides congruency)
- 7. CPCTC
Answer: 119°
Step-by-step explanation:
From the positive y-axis, all angles are measured clockwise
PR = PQ + QR = 5[150°] + 3[60°]
X = 5*sin150 + 3*sin60 = <u>5.1</u>
Y = 5*Cos150 + 3*Cos60 = <u>-2.83</u>
TanA = X/Y
A = -61° = 61° East of South = 119° Clockwise
Therefore, the bearing of R from P is 119°