Answer:
a) #4 vertical angles are congruent
b) # 1 ∠3 ≅ ∠7
c) # 6 Transitive property
Step-by-step explanation:
a. Vertical angles - opposite angles that are equal.
b. corresponding angles - in the same place but on different parallel lines
and are equal.
c. a = b, b = c so a = c
I dont really know how to do the work but i guess 1/125 is the simplest from to do 0.008 into a fraction
(smaller length measure) to (larger length measure)
3 to 9 or 6 to 18
reduces to 1 to 3 or
Answer:

Step-by-step explanation:
Use the Pythagorean Theorem

and
are either opposite or adjacent
is the hypotenuse.
1. Look for the right angle. (the little box). The right angle "points" to the hypotenuse. In this case, the hypotenuse is 25.
2. Because we know the hypotenuse is 25. We know that 24 is our adjacent. Meaning our missing side is the opposite.
3. Plug in the numbers. 
4. Solve:






Hope this helps! Lmk if you have questions.
Answer:
(x+9)(x+4)
Step-by-step explanation:
We wish to factor x²+13x+36 into the form of (x+p)(x+q) where p+q=13 and pq=36.
Factors of 36: 1, 2, 3, 4, 6, 9, 12. 18, 36
Notice that 9+4=13 as 9*4=36, which satisfies the values of p and q
This means x²+13x+36 can be factored into (x+9)(x+4)