Find the value of z, secant and tangent angles

Step-by-step explanation:

One is given a circle with two secants. Please note that a secant is a line that intersects a circle in two places. The secant exterior angle theorem states that when two secants intersect each other outside of a circle, the measure of the angle formed is half the of the positive difference of the intersecting arcs. One can apply this theorem here by stating the following:

Simplify,

Inverse operations,

Substitute this value into the equation for one of the intersecting arcs to find the numerical value of that intersecting arc:

The sum of all arc measures in a circle is (360) degrees. One can apply this here by stating the following:

Simplify,

Inverse operations,

choice b is correct

step-by-step explanation:

we have been given the following system of linear inequalities;

we are required to graphically determine the solution to these system of inequalities. using a graphing tool, the solution is as shown in the attachment below;

positive

step-by-step explanation:

the quadrant is facing upwards