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
Answer:
D. 24 ft
Step-by-step explanation:
The slope of 1/3 means the rise is 1/3 the run for each half of the span. The rise is shown as 4 ft, so the half-span is 3·4 ft = 12 ft.
The span of the roof is 24 ft.
Answer:
80
Step-by-step explanation:
A certain company employs 6 senior officers and 4 junior officers. If a committee is to be created that is made up of 3 sr officers and 1 jr officer, how many different committees are possible?
8
24
58
80*
210
I initially got this one wrong, but after I saw the answer which is 80, I was able to solve it. But im not sure if this is the proper way of solving it, or if someone can suggest a more efficient way of solving it?
This is what I did, which was wrong:
Sr Officers + Jr Officers
(6!/3! 3! = 20) + (4!/3! = 4) = 24
It seems like the correct answer is:
Sr Officers X Jr Officers
(6!/3! 3! = 20) x (4!/3! = 4) = 80
If this is the most efficient way of solving, when do you know when to add them as opposed to multiplying them in this case?
Hello!
Ok so we have y= 7/3x + 5 and initial condition of x=-3 so we just plug -3 in for x and chug along at this point! :)
y=(7/3)*(-3/1)+5= -7+5 = -2
Hope this helps! Any questions please just ask! Thank you!!
