The measurement of angle 1 is 60
Answer:
Since we have BC ║ DE, we know that:
AB/AD = BC/DE
12/(12 + 4) = BC/12
12/16 = BC/12
BC = (12 · 12)/16 = 9 (in)
Applying the pythagorean, we have:
AB² + BC² = AC²
12² + 9² = AC²
225 = AC²
AC = √225 = 15 (in)
Using the information about the parallel lines again, we have:
AC/CE = AB/BD
15/CE = 12/4
CE = (15 · 4)/12 = 5 (in)
So the answer is B
Answer:
The offices can be filled in 4080 ways.
Step-by-step explanation:
This question can simply be solved by permutations.
For the first office there are 17 people available, for the second office 16 people are available, and for the third office 15 people are available.
17x16x15 = 4080 ways.
It can be also thought in a simpler way by thinking that we are to make a combination of 3 people from 17 people and those 3 people can further be ordered into 3! ways. So the number of ways are:
3! x 17C3 = 17P3 = 4080 ways
1 triangle would be your answer.
