Answer:
x equals -5. I suggest using the app Socratic it helps.
Answer:
Step-by-step explanation:
Let
V
be the number of vertices of a polyhedron,
F
the number of faces of that polyhedron, and
E
be the number of edges. The quantity
χ
=
V
−
E
+
F
is called the Euler characteristic (of a polyhedron). In the case of convex polyhedra,
χ
=
2
.
Consider, for example, a tetrahedron (which is the simplest solid). It has 4 faces,
1
2
(
4
)
(
3
)
=
6
edges, and
1
3
(
4
)
(
3
)
=
4
vertices. Thus we have
V
−
E
+
F
=
4
−
6
+
4
=
2
.
Euler's formula holds for all Platonic solids (tetrahedron, cube, octahedron, dodecahedron, and icosahedron). Since a cube and an octahedron are dual polyhedra (each is formed by connecting the centers of the faces of the other), their
V
and
F
values are equal to the
F
an
V
values of the other. (The same is true for the dodecahedron and icosahedron).
Answer:
I'm pretty sure just 1
Step-by-step explanation:
Answer:
Refer to the explanation.
Step-by-step explanation:
Let's take each one at a time.
1.
To solve for the complement, we simply subtract our markup rate by 100%.
100% - 30% = 70%
Now to solve for the selling price, we use the formula


Selling Price = $123.91
2.
We do the same process with the first number.
100% - 40% = 60%


SellingPrice = $366.67
3.
The same as the first two.
100% - 20% = 80%


SellingPrice = $111.88
4.
Now to solve for the markup rate, we use the formula:

In this case we first need to find the markup. The markup is the difference between the selling price and the cost.
Selling Price = $235.28
Cost = $199.99
Markup = $235.28 - $199.99
Markup = $35.29
Now the we know our markup, we can then solve for the markup rate using the formula.


MarkupRate = 0.1499 x 100 = 14.99% or 15%
5.
Now for the last one, we need to find for the cost. Let's use the selling price formula to find for the cost.

Selling Price = $30.77
Complement = 65% or 0.65
This will then give us.

We multiple both sides of the equation by 0.65 to leave our cost alone.
30.77 x 0.65 = Cost
Cost = $20
Answer:
ΔABC ≅ ΔZXN
Step-by-step explanation:
Find the letters of the matching parts of the triangles.
A is the right angle; as is Z.
B is the angle where 10 meets 26; as is X.
C is the remaining angle; as is N.
__
Corresponding vertices are listed in the same order:
ΔABC ≅ ΔZXN