AB is a chord of length 9.6 cm of a circle with centre O and radius 6 cm. If the tangents at A and B intersect at point P then find the length PA.

1. are the triangles similar and if so why? what is the value of x? show your work.

The measure of one angle of an octagon is two times smaller that of the other seven angles. what is the measure of each angle?

Astudent draws two parabolas on graph paper. both parabolas cross the x-axis at (-4, 0) and (6,0). the y-intercept of thefirst parabola is (0, –12). the y-intercept of the second parabola is (0-24). what is the positive difference between the avalues for the two functions that describe the parabolas? write your answer as a decimal rounded to the nearest tenth.