Ray KM is an angle bisector of NKL.
Answer:
A U B = {17, 19, 20, 21, 22, 24}
Step-by-step explanation:
The symbol U is the union symbol, which denotes the union of two sets.
This means that given two sets A and B, the expression
A U B
indicates all the elements that belong to either set A or set B.
In this problem, we have the following two sets:
A = {19, 20, 21, 24}
B = {17, 19, 20, 22}
We can therefore list all the elements belonging to either set A or set B, they are:
17, 19, 20, 21, 22, 24
So, the expression A U B indicates the set:
A U B = {17, 19, 20, 21, 22, 24}
The answer is C; 35.5 units^2
Answer:
2. Judy =$5
Ben= $4
Step-by-step explanation:
2. Let Judy = x and Ben = y
8x + 10y = 80
9x + 5y = 65
Solve these simultaneous equations.
8
x + 10
y = 80
18
x + 10
y = 130
Take the second equation away from the first equation
−
10
x = −
50
x = 5
This means that Judy gets paid $5 an hour.
Therefore, Ben gets paid $4 an hour.
Answer:
3. 24 quarters and 16 dimes
Step-by-step explanation:
3. Let the number of dimes = x and the number of quarters = y
Value Value
Type Number of of
of of EACH ALL
coin coins coin coins
-------------------------------------------
dimes x $0.10 $0.10x
quarters y $0.25 $0.25y
-------------------------------------------
TOTALS 40 $7.60
x + y = 40
0.10x + 0.25y = 7.60
Get rid of decimals by multiplying every term by 100:
10x + 25y = 760
So we have the system of equations:
x + y = 40
10x + 25y = 760
We solve by substitution. Solve the first equation for y:
x + y = 40
y = 40 - x
Substitute (40 - x) for y in 10x + 25y = 760
10x + 25(40 - x) = 760
10x + 1000 - 25x = 760
-15x + 1000 = 760
-15x = -240
x = 16 = the number of dimes.
Substitute in y = 40 - x
y = 40 - (16)
y = 24 quarters.
$1.60 + $6.00 = $7.60
I hope that helped, sorry for taking so long :-)
