Solve (x 2 < 5) ∩ (x - 7 > -6).
a. {x | 1 < x < 3}
b. {x | x < 3 or x > 1}
c. {all real numbers}

In right ∆abc shown below, the midpoint of hypotenuse ac is located at d and segment bd is drawn.if ab = 12 and bc = 16, then explain why bd = 10. hint: consider what you know about the diagonals of a rectangle.

Atotal of 766 tickets were sold for the school play. they were either adult tickets or student tickets. there were 66 more student tickets sold than adult tickets. how many adult tickets were sold?

6cm10 cma conical paper cup has dimensions as shown in the diagram. how much water can the cup hold when full?