PLEASE HELP A, B, C and D are points on the circumference of a circle, centre O. ED is a tangent to the circle. Angle ODB= 25degrees. Work out angle BAD. You must give a reason for each stage of your working.

angle BAD=65  degrees

Step-by-step explanation:

angle ODB=25 degrees       (given)

Draw line from O to B

OD=OB     (both are radii)

angle OBD=angle ODB    (triangle ODB is isosceles)

angle OBD=25 degrees  

angle DOB=130 degrees  (180-25-25=130, all triangles contain 180 degrees)

angle DOB is a central angle

arc DCB=130 degrees  (central angle theorem postulate: The measure of the central angle is equal to the degree measure of the intercepted arc.)

angle BAD=130/2=65 degrees  (inscribed angle theorem: The size of an inscribed angle is equal to half the size of the central angle.)

answer: need picture of problem

step-by-step explanation:

so firstly, we need to isolate the y variables to be able to solve these inequalities. firstly, add 0.5x on both sides of the first inequality and subtract 1.5x on both sides of the second inequality:

now since the slope is positive for the first inequality, this means that the line going upwards belongs to the first inequality, and the line going downwards belongs to the second inequality.

next, since y ≥ in the first inequality, this means that the shaded region will be above the first inequality's line, thus shading regions a and b.

next, since y ≤ in the second inequality, this means that the shaded region is going to be below this line, thus shading regions a and c.

since both lines shade region a, this means that region a is the solution.

step-by-step explanation:

mark brainliest!