A man drove 7 miles directly east from his home, made a left turn at an intersection, and then traveled 11 miles due north to his place of work. If a road was made directly from his
home to his place of work, what would its distance be?
If the road was made as described above, how much shorter would the man’s one way trip be everyday ?

step-by-step explanation:

assume that you have 3 different side lengths.   apply the pythagorean theorem here:   square each of the two shortest sides; call them a and b, so that their squares are a² and b².   also square the longest side, calling the result c².

now, if a² + b² = c² is true, the triangle is a right triangle; otherwise it is not a right triangle.

the answer is  

d.

8 m

hope you got it down chief.

a reflection across line m

step-by-step explanation:

the first transformation is a 90 degree rotation counterclockwise around the point g. this gets to image gh'j'k'. when the image gh'j'k' is reflected over the line  m the result is g'h"j"k". the final transformation is a reflection over the line  m.