Two joggers run 8 miles north and then 5 miles west. What is the shortest distance , to the nearest tenth of a mile, they must travel to return to their starting point?
PLSS HELP EXTRA POINTS, WILL GIVE BRANLIEST!!

9.4 miles

Step-by-step explanation:

We can assume that if these joggers run 8 miles north, consecutively 5 miles west, these lengths form legs of a right angle triangle, from which we have to determine the hypotenuse of the triangle provided it would lead to the shortest route possible;

Knowing this is a right angle triangle, let us apply Pythagorean Theorem to solve for the length of this hypotenuse, which we can assign as x;

8^2 + 5^2 = x^2 ⇒ square 8 and 5,

64 + 25 = x^2 ⇒ Combine like terms,

x^2 = 89 ⇒ Take square root on either side

Solution; Shortest Distance ⇒ length of 9.4 miles

option a is correct.

step-by-step explanation:

scale factor: it is used to find proportional measurements.

proportions means having the same ratio.

scale factor is the ratio of the model measurement to the actual measurement in a simplest form.

or we can say that the ratio of any two corresponding lengths in two similar geometric figures

if the scale factor is more than 1, then it is an enlargement,

if the scale factor less than 1, then it is a reduction.

given the two geometric figure:

by definition of proportions, we have

no idea

step-by-step explanation: