An electronics store receives a shipment of 40 graphing calculator, 3 that are defective. Four of the calculators are selected to be sent to a local high school. A) How many selections can be made?
B) How many of those selections will contain no defective calculators?

Solve for x, y, and z. show all steps.

In the figure below, ∠dec ≅ ∠dce, ∠b ≅ ∠f, and segment df is congruent to segment bd. point c is the point of intersection between segment ag and segment bd, while point e is the point of intersection between segment ag and segment df. the figure shows a polygon comprised of three triangles, abc, dec, and gfe. prove δabc ≅ δgfe.

What is the expression in factored form? -x^2 + 3x + 28 a. (x-7)(x-4) b. -(x-7)(x+4) c. (x+4)(x+7) d. -(x-4)(x+7)