Step-by-step explanation:
I think b is 42 as well cause there are vertically opposite
ummm ....and c is (180- 42 because they are adjacent angles)
therefore b=42
c= 138
that is what I yhink sorry if it ain't the right answer
Answer:
the amount left to spend is $740.77
Step-by-step explanation:
The computation of the amount left to spend is as follows:
= Each month payment - last month payment bills
= $2,185.76 - $73.49 - $897.19 - $474.31
= $740.77
Hence, the amount left to spend is $740.77
We simply deduct three amount bills from the each month payment
Answer:
D
Step-by-step explanation:
x
=
−
8
,
−
2
Explanation:
Given:
x
2
+
10
x
+
16
=
0
To complete the square put the two
x
terms on the left and the constant on the right of the equation:
x
2
+
10
x
=
−
16
Complete the square by multiplying the
x
-term by
1
2
:
1
2
⋅
10
=
5
and adding the square of this number to the right side of the equation:
5
2
=
25
(
x
+
5
)
2
=
−
16
+
25
UNDERSTANDING CHECK:
(
x
+
5
)
2
=
x
2
+
10
x
+
25
.
The
+
25
was not in the original equation. If we add
+
25
to one side of the equation, we must add the same amount to the other side of the equation to keep it balanced.
(
x
+
5
)
2
=
9
To solve, square root both sides of the equation:
√
(
x
+
5
)
2
=
±
√
9
x
+
5
=
±
3
x
=
−
5
±
3
x
=
−
5
+
3
=
−
2
,
x
=
−
5
−
3
=
−
8
x
=
−
8
,
−
2
Answer: There are 4 average cars in the system.
Step-by-step explanation:
Since we have given that
Arrival rate = λ = 4 cars per hour
Service rate = μ = 5 cars per hour
We need to find the average number of cars in the system.
So, Average number of cars would be

So, it becomes,

Hence, there are 4 average cars in the system.