Answer:
w==77
Step-by-step explanation:
The sum of the 2 opposite interior angles equals the exterior angle.
w-36 +w-20=w+21
combine like terms: 2w-56=w+21
subtract w from both sides: w-56=21
add 56 to both sides: <u>w=77</u>
Answer:
$25
Step-by-step explanation:
Cost = 30 x months + 25
Every month you will pay 30$
At 0 months when you sign up substitute m=0
Cost = 30x 0 +25 = 0 +25 =25
Answer:
It is a perfect square. Explanation below.
Explanation:
Perfect squares are of the form
(
a
+
b
)
2
=
a
2
+
2
a
b
+
b
2
. In polynomials of x, the a-term is always x.(
(
x
+
c
)
2
=
x
2
+
2
c
x
+
c
2
)
x
2
+
8
x
+
16
is the given trinomial. Notice that the first term and the constant are both perfect squares:
x
2
is the square of x and 16 is the square of 4.
So we find that the first and last terms correspond to our expansion. Now we must check if the middle term,
8
x
is of the form
2
c
x
.
The middle term is twice the constant times x, so it is
2
×
4
×
x
=
8
x
.
Okay, we found out that the trinomial is of the form
(
x
+
c
)
2
, where
x
=
x
and
c
=
4
.
Let us rewrite it as
x
2
+
8
x
+
16
=
(
x
+
4
)
2
. Now we can say it is a perfect square, as it is the square of
(
x
+
4
)
.
