Write and evaluate an absolute value expression using the \( x \)-coordinates or the \( y \)-coordinates of the points to calculate the distance between each location. \( \begin{array}{ll}\text { (a) The bank and the post office } & \text { (b) The middle school and the bakery } \\ \text { (c) The market and the playground } & \text { (d) The orthodontist and the post office }\end{array} \)

In this exercise, lines m and n are parallel. Find the measure of each numbered angle.

506 Un trapezio isoscele \( A B C D \) ha gli angoli adiacenti alla base maggiore \( A B \) di \( 45^{\circ} \). La somma della base mag- giore e del doppio della minore è 21 cm , mentre la som- ma della base minore e dell'altezza è 8 cm . Determina l'area del trapezio. [ \( \left.24 \mathrm{~cm}^{2}\right] \)

The shorter leg of a right triangle is 5 m shorter than the longer leg. The hypotenuse is 5 m longer than the longer leg. Find the side lengths of the triangle. Length of the shorter leg: \( \square \mathrm{m} \) Length of the longer leg: \( \square \mathrm{m} \) Length of the hypotenuse: \( \square \mathrm{m} \)

The length of the longer leg of a right triangle is 20 cm more than twice the length of the shorter leg. The length of the hypotenuse is 22 cm more than twice the length of the shorter leg. Find the side lengths of the triangle. Length of the shorter leg: \( \square \mathrm{cm} \) Length of the longer leg: \( \square \mathrm{cm} \) Length of the hypotenuse: \( \square \mathrm{cm} \)

The shorter leg of a right triangle is 9 m shorter than the longer leg. The hypotenuse is 9 m longer than the longer leg. Find the side lengths of the triangle. Length of the shorter leg: Length of the longer leg: Length of the hypotenuse: \( \square \mathrm{m} \)