Two cyclists start at the same point and travel in opposite directions. one cyclist travels 8 kmh slower than the other. if the two cyclists are 176 kilometers apart after 4 hours, what is the rate of each cyclist?

rate of slower cyclist=18 km/h

rate of faster cyclist=26 km/hr

Step-by-step explanation:

let the rate of the slower cyclist= x

and the rate of the fastest cyclist will be= x+8

so according to conditions the distance time is 4 hours so multiply both by 4

distance=travel time  x rate of travel  

..

4x+4(x+8)=176

4x+4x+32=176

8x=176-32

8x=144

X= 144/8= 18

x+8= 18+8=26

rate of slower cyclist=18 km/h

rate of faster cyclist=26 km/hr

proofs involving isosceles triangles often require special consideration because an isosceles triangle has several distinct properties that do not apply to normal triangles.(more about triangle types) therefore, when you are trying to prove that two triangles are congruent, and one or both triangles, are isosceles you have a few theorems that you can use to make your life easier.

step-by-step explanation:

an isosceles triangle has two congruent sides and two congruent angles. the congruent angles are called the base angles and the other angle is known as the vertex angle. ∠bac and ∠bca are the base angles of the triangle picture on the left. the vertex angle is ∠abc