Based on the definition of congruent angles, the value of x is: 23.
<h3>What are Congruent Angles?</h3>
Congruent angles have the same measure. Examples of angles that are congruent are:
- Alternate interior angles
- Alternate exterior angles
- Corresponding angles
Thus:
(5x + 16) = (6x - 7) -- congruent angles
Combine like terms
5x - 6x = -16 - 7
-x = -23
x = 23
Therefore, based on the definition of congruent angles, the value of x is: 23.
Learn more about congruent angles on:
brainly.com/question/1675117
Answer:
3/4
Step-by-step explanation:
3 goldfish
4 total pets
The first one is correct.
Answer:
−1/cotθ
1/cot(−θ)
tan(−θ)
Step-by-step explanation:
The tangent function is a the ratio for an angle defined as opposite / adjacent. A negative applied to −tan θ will give the opposite value. This is also true for the function when taken on a negative angle. tan(−θ) = −tan θ. This identity is also true for sin, sec, and cot. Recall that cotangent is the reciprocal of tangent and is defined as the ratio adjacent / opposite. Taking the reciprocal of cotangent will be the same as tangent. Using this information the following are equivalent:
1/cotθ
−1/cotθ ----> The reciprocal of Cot is Tan
1/cot(−θ)
----> The reciprocal of Cot is Tan and cot(−θ) = −cot θ.
−1/cot(−θ)
tan θ
tan(−θ)----> tan(−θ) = −tan θ
