Kite is a quadrilateral with two pairs of adjacent, congruent sides. the vertex angles are those angles in between the pairs of congruent sides. prove the diagonal connecting these vertex angles is perpendicular to the diagonal connecting the non-vertex angles. be sure to create and name the appropriate geometric figures.

In triangle abc, the length of side ab is 12 cm, the length of side bc is 5 cm, and the length of side ca is 9 cm. find the measure of angle a using the law of cosines.

A) if $50000 is invested in a bank account that pays 9.3% of interest compounded on a six-monthly basis, how much money will be in the account after 3 and 12 years? b) if matusalen's father had put $2.0 in the bank when he was born and there, how long would matusalen have had to his death (969 years later) if the interest was 7% per year composed each month and weekly?

What is the value of the product (3-2i)(3+2i)?