30 POINTS cpm high school math
1 answer:
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Answer:
\angle ACB=40^{\circ}, \angle ABC=63^{\circ}
Step-by-step explanation:
Finding x:
We know that , because it's a straight line. So,
.
We know that the sum of the angles of any triangle will be .
So, we have that .
Combining like terms on the left gives .
Subtracting from both sides gives
.
Dividing both sides by gives
.
Finding missing angle measures:
.
.
So, and
and we're done!
Note: . Coincidence? If not, try and prove it!
Answer:
answer in the pic
Step-by-step explanation:
If you have any questions about the way I solved it, don't hesitate to ask me in the comments below ;)
Answer:
There are 8 ways.
Step-by-step explanation:
For each employee there are two possibilities: first office and second office.
Therefore,
the number of ways the company can assign 3 employees to 2 different offices will be :
= 8
We can also look at this problem like suppose ABC are employees.
We can arrange them like -
0 ABC
ABC 0
AB C
BC A
CA B
A BC
B CA
C AB
So, there are total 8 WAYS.