Answer:
vertices (V) = 6, faces (F) = 12 and edges (E) = 16
Step-by-step explanation:
A polyhedron is a three-dimensional shape with straight edges and flat faces and sharp corners.The point where the faces of a polyhedron meet each other is known as the edge while the corners of the polyhedron is known as the vertices.
Euler formula gives the relationship between the number of vertices (V), faces (F) and edges (E) of a polyhedron. This formula is given as:
F + V - E = 2.
Given that:
E - V = 10, Therefore E = V + 10
F = 2 × V = 2V
Substituting into the Euler formula:
2V + V - (V + 10) = 2
2V + V - 10 - V = 2
2V = 12
V = 12/2 = 6
Therefore, E = V + 10 = 6 + 10 = 16
F = 2V = 2 × 6 = 12
See attachments for the answers.
24 doesn't have any prime factors
brainliest plzz
Answer:
(2,2)
Step-by-step explanation:
Given equations
x-3y=-4-------------------------------(1)
y=-3x+8.------------------------------(2)
Substitute 2 in 1. This means use the value of y in equation 1, to replace y
x-3(-3x+8)=-4------------------open brackets
x+9x-24=-4---------------------collect like terms
10x=-4+24
10x=20---------------------------divide by 10 both sides to get value of x
10x/10=20/10=2
x=2------------------------------use value of x in equation (2) to get value of y
y=-3x+8
y=-3(2)+8
y=-6+8=2
solutions
x=2, y=2
