Answer:
translation and um thats all
A) time = distance/speed
For the first half of the trip, the time used was
.. (1 mi)/(12 mi/h) = (1/12) h = 5 minutes
Then the last half of the trip took 10 minutes, 1/6 hour.
.. speed = distance/time
.. = (1 mi)/(1/6 h) = 6 mi/h
The speed for the last half of the trip was 6 mph.
b) The average speed was
.. (2 mi)/(1/4 h) = 8 mi/h
Ling's average speed was 8 mph.
Alex bought all the string needed for $125.
It costs $18 for the remaining materials to make each puppet.
So if we closely observe then we see that here $125 is the fixed cost because its not going to change with number of puppets.
And the variable cost is $18.
In this case we can model a Total cost function C(x) for for x number of puppets as below

The total cost to make 50 puppets=$1025
Answer:
267.1115
Step-by-step explanation:
Answer:
m∠FXD = 36°
EG = 10
m∠FZG = 24°
Step-by-step explanation:
In triangle XYZ, G is the incenter of the triangle.
Since, m∠FXG = 18°
And m∠FXD = 2(m∠FXG)
= 2 × 18°
= 36°
Since, point G is equidistant from all sides (Property of incenter of a triangle)
Therefore, DG = EG = GF = 10
Since, m∠X + m∠Y + m∠Z = 180°
2(m∠FXG) + m∠DYE + 2(m∠FZG) = 180°
2(18)° + 96° + 2(m∠FZG) = 180°
2(m∠FZG) = 180° - 132°
m∠FZG = 24°