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Answer:
<h2>DA is equal to <u>25</u> or BA</h2>Step-by-step explanation:
ABC
ADC
- Since we know that line CA is equal to line CA because of <em>reflexive property</em>
- Angle BAC and DAC are equal because of <em>definition of an angle bisector</em>
- Angle ABC and ADC are equal because of <em>definition of an angle bisector</em>
- This will give us <em>ASA</em>, proving to us that all sides and angles are congruent <u>(this was already given to us)</u>
- So, if BA is 25, and we know that BA is congruent to DA, this tells us that DA is 25
Polar and cartesian equation<h2>Initial explanation</h2>
<h2>STEP 2: secØ equation</h2>
<h2>STEP 3: comparison between given equation and secØ equation</h2>
Let's analyze the relation between r and x and y:
We have that between the indicated value of r (of the polar coordinates) and x and y (of the cartesian coordinates) there is a relation because they form a triangle. If r changes, then the value of x and y will change.
<h2>STEP 1: given equation</h2>Using the given equation
r = 2 secØ
we have that
Observing the image of the initial explanation we have a right triangle, we know that the equation of
secØ for any right triangle is given by:
In this case,
hypotenuse = r
adjacent side = x
then,
Then, we have that:
This means that:
Then,
x = 2
The equation in cartesian coordinates is x=2.
Answer: x=2