The statement tan theta -12/5, csc theta -13/12, and the terminal point determined by theta is in quadrant 3."

a. cannot be true because 12^2 + 5^2 does not equal 1.
b. cannot be true because if tan theta = -12/5, then csc theta = plus or minus 13/5.
c. cannot be true because tan theta must be less than 1.
d. cannot be true because tan theta is greater than zero in quadrant 3.

The answer would be D. Cannot be true because tan theta is greater than zero in quadrant 3.

Option D is correct.

The given statement cannot be true because tan theta is greater than zero in quadrant 3.

Step-by-step explanation:-

In quadrant 3rd ,

Cosine and Sine both are negative and tangent is positive.

As per the statement:-

The terminal point determined by theta is in quadrant 3.

Given:-

Since, is in quadrant 3,

⇒ cannot be negative.

Therefore, the given statement cannot be true because tan theta is greater than zero in quadrant 3.

80° is the measure of gh

step-by-step explanation:

circle f is congruent to circle j

we have two circle with center f and j.

both circles are congruent. the radius of the circle would be equal.

see the attachment for the circle.

we are given ∠efd ≅ ∠gjh

therefore, arc (ed) = arc (gh)     (∴ circle f is congruent to circle j)

but ∠dfe=80°=arc (ed)

therefore, arc (gh) = 80°

thus, 80° is the measure of gh

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