Given right triangle ABCABC with altitude \overline{BD} BD drawn to hypotenuse ACAC. If AC=6AC=6 and DC=4,DC=4, what is the length of \overline{BC} BC in simplest radical form? (Note: the figure is not drawn to scale.)

1. find the area of the unshaded square 2. find the area of the large square 3. what is the area of the frame represented by the shaded region show

Mis the midpoint of rq if rm equals 2x + 5 and mq equals 4x - 9 what is the length of rq

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?