<u>Statement</u> <u>Reason</u>
1. altitude AD bisects ∠BAC 1. Given
2. DB is congruent to DC 2. definition of bisect
3. m∠BDA = 90° 3. definition of altitude
4. m∠CDA = 90° 4. definition of altitude
5. m∠BDA = m∠CDA 5. transitive property
6. AD is congruent to AD 6. reflexive property
7. tri BDA is congruent to tri CDA 7. SAS
8. AB is congruent to AC 8. CPCTC
9. tri ABC is isosceles 9. definition of isosceles
Answer:
shrek
Step-by-step explanation:
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Note: (f/g)(x) can be written as
f(x)/g(x). This simply means f(x) divided by g(x).
We know what f(x) and g(x) are because that information is given to us in the problem. See it?
Set up the rational function and factor.
(x^2 - 9)/(x^2 -4x + 3)
We now factor the top and bottom.
(x - 3)(x + 3)/(x - 3)(x - 1)
Cancel out common terms.
We now have (x + 3)/(x - 1) as the reduced rational function.
To find the domain, set the bottom to 0 and solve for x.
x - 1 = 0
x = 1
The domain is ALL REAL NUMBERS EXCEPT FOR 1. In the given function, x CANNOT BE 3 because this would create a zero in the denominator.
Answer in interval notation is
(-00, 1) U (1, 3) U (1, 00).
The interval notation reads as follows:
All negative numbers included but not 1 united with the open interval that does not include 1 and 3 united with the interval that excludes 1 but includes all positive numbers greater than 1. I hope this is clear.
Answer:
- b = 15
- c = 51
- c = 100
- b = 25.75
Step-by-step explanation:
Using the Pythagoras theorem equation:

Where 'c' is the hypotenuse and 'b' and 'a' the sides of the right triangle.
1) Here c = 17, a = 8 and b = ?
Then, using the above equation we can find the side b.


2) Here a = 24, b = 45 and c = ?

3) Here a = 28, b = 96 and c = ?
4) Here a = 17, b = ? and c = 28

Just in the 4 case x is an altitude.
I hope it helps you!
Answer:
Part 1) 
Part 2) 
Step-by-step explanation:
we have that
The cosine of angle theta is negative and the tangent of angle theta is positive
That means that the sine of angle theta is negative
step 1
Find 
we know that

we have

substitute




square root both sides

Remember that
In this problem the sine of angle theta is negative
so

step 2
Find 
we know that

we have


substitute the given values
