Tom is hiking on a trail that lies on a railroad track. the total length of the trail is 5.4 kilometers. starting from the beginning of the trail, he has been walking for 45 minutes at an average speed of 2.4 kilometers per hour. what is the length to the end of the trail?

Welcome to !

The total trail length is 5.4 km.  If we subtract the distance already covered, the result will be the remaining distance to hike:

5.4 km - (2.4 km/hr)((3/4) hr  =  (5.4 - 1.8) km.

Tom has 3.6 km left to hike to reach the end of the trail.

The relationship between <7 and <8 can be said to be vertically opposite angles. They are equal to one another and formed by the intersection of two straight lines. i.e. the intersection of lines C and D.

The special angles created by the intersection of lines C and D can be used to solve for y because they all are inter woven and connected to one another either supplemtarily or by being vertically opposite angles.

5y - 29 = 3y + 19( vertically opposite angles)

5y - 3y = 19 + 29

2y = 48

y = 48/2

= 24.

<7 = <8

<7 + 5y - 29 = 180°( angles on a straight line)

<7 = 180° + 29 - (5 × 24)

= 209 - 120

<7 = 89°

<8 = 89° (vertically opposite angles)