Kara and Anna are sisters that go to the same school. They started simultaneously moving from their school to their home at different rates on the same route. Kara took a bicycle and Anna a car, the rate of which was 5 times faster than Kara's bicycle. At the half-way point, Anna's car broke and she began to walk home at a rate 2 times slower than the bicycle's rate. Who reached home last? What was the percent increase in time spent versus the other sister?

Step-by-step explanation:

Time taken by Kara:

Time taken by Anna:

the simplified form is

step-by-step explanation:

we want to simplify the expression,

let us change the middle bar to a normal division sign to obtain,

we multiply the first fraction by the reciprocal of the second fraction to obtain,

we factor to obtain,

we cancel the common factors to get,

we simplify to get,

the correct answer is b

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