Look at the rectangle and the square: 6 in
M
6 in
12 in
R
O
N
Elisa says that the length of diagonal PR is two times the length of diagonal LN.
Is she correct? Justify your answer and show all your work. Your work should state the theorem you used to find the lengths of the diagonals.

#12 find the value of x. #13 find the value of the variable.

The coordinate grid shows points a through k. which points are solutions to the system of inequalities listed below? 2x+ ys 10 2x 4y < 8 oa c, d, k o e, f. g, j oa, c, d, h, k oe, f. g, h, j

Every weekday, mr. jones bikes from his home to his job. sometimes he rides along two roads, the long route that is shown by the solid lines. other times, he takes the shortcut shown by the dashed line. how many fewer kilometers does mr. jones bike when he takes the shortcut instead of the long route?