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.
Answer:
x=20
Step-by-step explanation:
First solve for x in the first equation. So you'll have to substitute,
5(3x-7)=20
15x-35=20
Then add 35 to both sides.
15x=55
Divide 55 by 15.
So x = 3.66...
Then plug in 3.7 for x in 6x-8
6(3.7)-8
Its approximately 14.2
Answer:
Anthony paid for 7 days of parking.
Step-by-step explanation:
From the information given, the cost of parking a motor home in a state park would be equal to the one time fee plus the result of multiplying the daily rate for the number of days:
c=180+55x, where c is the cost of parking the motor home and x is the number of days.
Now, you can replace c with 565 that is the amount Anthony prepaid and you can solve for x to be able to find the number of days he paid for:
565=180+55x
565-180=55x
385=55x
x=385/55
x=7
According to this, Anthony paid for 7 days of parking.
Here it is given that AB || CD
< EIA = <GJB
Now
∠EIA ≅ ∠IKC and ∠GJB is ≅ ∠ JLD (Corresponding angles)
∠EIA ≅ ∠GJB then ∠IKC ≅ ∠ JLD (Substitution Property of Congruency)
∠IKL + ∠IKC 180° and ∠DLH + ∠JLD =180° (Linear Pair Theorem)
So
m∠IKL + m∠IKC = 180° ....(1)
But ∠IKC ≅ ∠JLD
m∠IKC = m∠JLD (SUBTRACTION PROPERTY OF CONGRUENCY)
So we have
m∠IKL + m∠JLD = 180°
∠IKL and ∠JLD are supplementary angles.
But ∠DLH and ∠JLD are supplementary angles.
∠IKL ≅ ∠DLH (CONGRUENT SUPPLEMENTS THEOREM)
