Answer: Approximately 4.7 hours.
Step-by-step explanation:
He rode the bicycle for some time before it broke down and he walked the remaining distance. This means that Jim covered a total of 165 miles by riding at a speed of 35 miles per hour and walking at a speed of 3 miles per hour.
Let x = the distance covered by riding the bicycle.
Let y = the distance covered by walking.
Time = distance /speed
Time he used in riding would be x/35
Time he used in walking would be y/3
Since the entire trip took 7 hours,
x/35 + y/3 = 7
3x + 35y = 735 - - - - - - - - 1
Total miles covered is 165. Therefore,
x + y = 165 - - - - - - - - -- - -2
Substituting x = 165-y into equation 1, it becomes
3(165-y) + 35y = 735
495-3y + 35y = 735
-3y + 135y = 735-495
132y = 240
y = 240/132
y = 1.81m
x = 165 - 1.81 = 163.19
Amount of time that he spent on the bicycle will be
x/35 = 163.19/35
= 4.66
Approximately 4.7 hours.
You use the formula C=2(3.14)r r is the radius and in this situation 2 so the answer will be 12.56
Answer:
see below
Step-by-step explanation:
Assuming s and t are parallel
The two angles are same side interior angles and same side interior angles add to 180 when the lines are parallel
4x-12 + 120 = 180
4x -12 = 60
4x = 72
x = 18
That means 4x -12 = 4(18) -12 = 60
Vertical angles are equal. Alternate interior angles are equal. Alternate exterior angles are equal. All pink dot angles are equal.
Pink dots are 60 degrees
All blue lines are equal. They are 120 degrees
Since the distance from the two known coordinates are known, you can find the slope of the line (for lack of a better word) to work backwards. there is a +5 unit gap between -21 and -16, so the next number would be -26. So, without havint to do any more work, the answer is B.
