How many faces, edges and vertices does the shape below have?
2 answers:
<h2><u>PENTAGONAL PYRAMID</u></h2><h3>Answer:</h3>
Faces = 6
Edges = 10
Vertices = 6
<h3>Explanation:</h3>A <u>face</u> is any of the flat surfaces of a solid object, meaning that the pentagonal pyramid has got 6 faces in total; 5 triangles, and 1 pentagon (5+1=6)
An <u>edge</u> is a line segment where two faces meet, and they also join each vertex with another. So if we look at the base of the pentagonal pyramid (which is a pentagon) we can see that it has got 5 edges, and then, when we look at the edges that connect the triangles with eachother, there are 5 more edges, so 5+5=10.
A <u>vertex</u> is where two or more line segments (edges) meet. The base (pentagon) has 5 vertices, and at the top, where the 5 triangles' edges connect, there is another vertex (just 1). So 5+1=6.
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Answer:
The system has no solution
Step-by-step explanation:
we have
Isolate the variable y
Divide by 2 both sides
---> equation A
---> equation B
Compare the equations
Equation A and equation B have the same slope and different y-intercept
Remember that
If two lines have the same slope, then the lines are parallel
The solution of the system is the intersection point both graphs
In this problem, the lines don't intersect, therefore, the system has no solution
using a graphing tool
The graph in the attached figure
