Angle ABC is an inscribed angle.
Inscribed angle = 1/2 * Intercepted Arc
The intercepted arc is arc CD + arc DA, which would be 128 + 76 = 204
m<ABC = 1/2(204)
m<ABC = 102 degrees
You answer is D) 102
Answer:
38
Step-by-step explanation:
f(x)=6x+2
6x6 (6 sqaured)
f(36)=36x+2
Now we add 36+2
38
The formula for this calculation is Future Value = Payment • [((1 + I)n - 1)/I], where I = interest rate, and n = periods.
In this case, P = $800/month, n = 18 months, and I = 6% (0.06) per year.
Since the information involves months instead of years, it is necessary to divide the interest rate by 12 to obtain the monthly rate. So, 0.06 ÷ 12 = 0.005
We can then enter the information into our formula to obtain:
FV = $800 • [((1.005)18 - 1)/.005]
FV = $800 • [(1.0939 - 1)/.005]
FV =$800 • (0.0939/0.005)
FV = $800 • 18.785
FV ≅ $15,028
If you take the derivative of your equation, you get:
2′″−″−′+′=0
2
y
′
y
″
−
x
y
″
−
y
′
+
y
′
=
0
or
″(2′−)=0.
y
″
(
2
y
′
−
x
)
=
0.
Let =′
v
=
y
′
and we have ′(2−)=0,
v
′
(
2
v
−
x
)
=
0
,
so either ′=0
v
′
=
0
and =
v
=
c
or =/2
v
=
x
/
2
.
Then ′=
y
′
=
c
and so =+
y
=
c
x
+
d
or ′=/2
y
′
=
x
/
2
and =2/4.
y
=
x
2
/
4.
Plugging the first into the original equation gives =−2
d
=
−
c
2
. So there are two solutions =−2
y
=
c
x
−
c
2
for some constant
c
and =2/4
y
=
x
2
/
4
. I don't know if this is all the solutions