The required margins for a term paper are 1(1/2) inches at the top and bottom of the paper that has 11 inches of vertical length. How long is the vertical area available for typed information?

In the diagram, ab is tangent to c, ab = 4 inches, and ad = 2 inches. find the radius of the circle.

Proving the congruent supplements theorem

Talia grouped the terms and factored out the gcf of the groups of the polynomial 15x2 – 3x – 20x + 4. her work is shown below. (15x2 – 3x) + (–20x + 4) 3x(5x – 1) + 4(–5x + 1) talia noticed that she does not have a common factor. what should she do?