9 black sheep because 56 divided by 6 is 9 and there is 6 times as many white sheep than there is black. Hope this helped!
Answer:
We should attempt synthetic division to find when
x
3
−
k
x
2
+
2
k
x
−
15
x
−
3
has a remainder of
0
, which would signify that it is a factor of the polynomial.
The synthetic substitution would be set up as:
3
−
∣
∣
∣
1
−
k
2
k
−
15
−−−
−−−
−−−
−−−
−−−
|
0
Treating the synthetic division like any other synthetic division problem, we see that
3
−
∣
∣
∣
1
−
k
2
k
−
15
−−−
−−−
3
−−−−−−−−
−
3
k
+
9
−−−−−−−−
−
3
k
+
27
−−−−−−−−−
1
−
k
+
3
−
k
+
9
|
0
If the remainder equals
0
, then we know that
−
3
k
+
27
+
(
−
15
)
=
0
Solve this to see that
k
=
4
.
Thus,
(
x
−
3
)
is a factor of
x
3
−
4
x
2
+
8
x
−
15
.
I think no, because a pyramid's lateral face is a triangle, and he can only draw a prism if it's rectangular
1. a= 60 (vertically opposite angles)
b= 360-(60+60)=240/2= 120 (angles at a point)
c= 120 (vertically opposite angles with b)
2. c= 90-40= 50 (vertically opposite angles)
b=a=360-90-90=180/2=90 (angles at a point)
3. a= 180-52-51= 77 (angles on a straight line)
b=52 (angles at a point)
d=51 (angles at a point)
c=77 (angles at a point)
4. a= 60 (vertically opposite angles)
b= 360-(60+60)=240/2= 120 (angles at a point)
c= 120 (vertically opposite angles with b)
e=65
d=f= 360-65-65=230/2=115
h=55
i=g=360-55-55=250/2=125
5. b=163
a=90
e=70
d=360-70-70=220/2=110
c=360-163-163=34/2=17
Hope this helps!
