Abby is going to ride her bike to her friend's house that lives 6 miles away. she can ride her bike at a rate of 2 miles per hour. at this rate, how many hours will it take her to ride her bike half of the distance?

To travel half a distance Abby requires 1.5 hrs.

Step-by-step explanation:

Given:

Abby is going to ride her bike to her friend's house that lives 6 miles away.

Distance = 6 miles

She can ride her bike at a rate of 2 miles per hour.

Speed = 2 miles per hour

We need to find the time required to ride her bike half of the distance.

Now Distance =

Now Time required can be calculated by Dividing distance with speed.

Time (hours) =

Hence To travel half a distance Abby requires 1.5 hrs.

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.