Devon set out to bicycle from Exeter to the beach, a distance for 10 miles. After going a short while at 15 miles per hour, the bike developed a flat tire, and the trip had to be given up. The walk back to Exeter was made at a deected 3 miles per hour. The whole epsiode took 48 minutes. How many miles from Exeter did the flat occur?

Distance between Exeter and the point where flat tire occurred was 1.875 miles.

Step-by-step explanation:

Let the distance of Exeter and the point where bike developed the flat tire was = x miles

Then time taken to reach that point with speed 15 mi per hour =

= hours

Devon comes back with a speed of 3 miles per hour then time taken to come back = hours

Total time for the entire episode = 48 minutes or hours

Therefore,

x =

x = miles

x = 1.875 miles

Therefore, distance between Exeter and the point where flat tire occurred was 1.875 miles.

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