Will give you brainiest

Step-by-step explanation:

A) If AB is a diameter, Then ACB is a 90 degrees angle because In a semi-circle (AB is a diameter which divides the circle into 2 equal parts), the angle opposite to the diameter is of 90 degrees.

So, <ACB = 90 degrees

Then <a = 180-90-28

=> <a = 62 degrees

B) The opposite interior angles of a quadrilateral inscribed in a circle add up to 180 degrees.

So,

=> <a + <b = 180

=> <b = 180-62

=> <b = 118 degrees

a) False

b)True

c)False

d)True

e)True

Step-by-step explanation:

a) False

No it is not true for all cases

Ex

  2 x = 5 1

3 x =7.5 2

So here equation is 2 but we have a value of x=2.5.

b)True

If a linear system has free variables, then it must have infinitely many solutions.

c)False

Every linear system with the same number of equations and variables has a unique solution.This is not true for all cases.

d)True

In every linear system with 2 equations and 3 variables x1,x2,x3, the last variable x3 is a free variable.

e)True

If x1 = x2 = ··· = xn = 0 is a solution to a linear system, then the system must be homogeneous.