Find a counter example to show that the following statement is false:
for all nonzero real numbers a, b, c, d, a/b + c/d = a+c/b+d
a. a=3, b=5,c=-3,d=5
b. a=0, b=4,c=0,d=9
c. a=-2, b=1,c=2,d=1
d. a=1, b=2,c=1,d=2

Option D. is the answer.

Step-by-step explanation:

The given statement is

Now we have to find a counter example from the given options that the statement is False.

A. a = 3, b = 5, c = -3, d = 5

=

0 = 0

So the given statement is true.

B. a = 0, b = 4, c = 0, d= 9

0 + 0 = 0

So for this example the given statement is true.

C. a = -2, b = 1, c = 2, d = 1

0 = 0

Statement is true for these values.

D. a = 1, b = 2, c = 1, d = 2

Therefore, for these values of a, b, c and d, the given statement is False.

Option D. is the answer.

step-by-step explanation:

answer: option a.

step-by-step explanation:

you know that the quadrilateral opqr ( a four sided figure) is inscribed in circle. this means that all its vertices are on the circle.

then, by definition, the opposite angles of the quadrilateral are supplementary, this means that the sum of their measures is 180 degrees.

you can observe in the figure that the angles ∠opq   and the angle ∠orq   are opposite, therefore:

then, can be used to d to calculate the measure of ∠opq