Determine whether the conditional and its converse are both true. if both are true, combine them as a biconditional. if either is false, provide a counterexample. if an angle is a right angle, its measure is 90. if an angle measure is 90, the angle is a right angle. both statements are true. an angle is a right angle if and only if its measure is 90. both statements are true. the measure of an angle is 90 if and only if it is not a right angle. one statement is false. if an angle is a right angle, its measure may be 180. one statement is false. if an angle measure is 90, the angle may be an obtuse angle.

The answer is (B) "both statements are true. An angle is a right angle if and only if it's measure is 90°."

Step-by-step explanation: The given statements are

If an angle is right angle, it's measure is 90°.

If the measure of an angle is 90°, then it is a right angle.

Both the statements are true. We can combine them as a unconditional as follows:

An angle is a right angle if an only if it's measure is 90°.

Hence, (B) is the correct option.

  b.   the average rate of change of f(x) is less than the average rate of change of g(x).

step-by-step explanation:

since the length of the interval is the same in each case, we only need to compare the change in y-value to see which is greater.

so the change in y-value for function f is (6 )) = 9.

the table tells us

so the change in y-value for function g is (31 -1) = 30.

the change in y-value of f(x) on the interval is less than the change in y-value of g(x) on the same interval, so the average rate of change of f(x) is less than the average rate of change of g(x).