The shortest distance they have to travel to return to their starting point is 9.4 miles.
Explanation
The joggers run 8 mile north and then runs 5 miles west. we have to calculate the shortest distance they have to travel to return to their starting point.
The distance traveled north and west respectively makes the height and base of a right angled triangle.
to find the shortest distance to the starting point, the hypotenuse has to be determined.
height h=8 miles
base b=5 miles
using pythagoras theorem

The shortest distance to the starting point is 9.4 miles
Answer:
Step-by-step explanation:
Factorize using square root method.
x² - 2x + 2 = (x-a)² + b
x² -2x + 1 + 1 = (x-a)²+b
(x² - 2*x*1 + 1²) + 1 = (x -a)²+ b {Compare with a²- 2ab+b² which is (a - b)²}
(x - 1)² + 1 = (x - a)² + b
a = 1 and b = 1
Answer:
The correct option is 3. The length of XC is 30.
Step-by-step explanation:
It is given that triangle ABC and triangle XYC are similar.
According to the properties of similar triangles, then corresponding sides of similar triangles are congruent.
In triangle ABC and triangle XYC,

Let the length of XC be x.
From the below figure it is notices that






Therefore correct option is 3. The length of XC is 30.