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VARVARA [1.3K]
3 years ago
5

DOES ANYONE KNOW HOW TO DO THESE?????????

Mathematics
1 answer:
ValentinkaMS [17]3 years ago
6 0

Answer:

a) Degree of E = 2

b) Even vertices: B, C, E

Odd vertices : A, D

c) Vertices A, C, and E are adjacent to D

Step-by-step explanation:

a) The degree of a vertex is given by the number of segments that end there, so in the case of vertex E, there are only two segments that connect it, therefore its degree is 2

b) Following the same idea of degree of a vertex, we can find the number of segments that end on each one of the 5 vertices shown and assign to them their degree:

A (3), B (2), C (4), D (3), E (2)

Therefore the odd vertices are: A and D (both of degree 3)

The even vertices are: B, E (both of degree 2, and C (degree 4)

c) the vertices adjacent to vertex D are those connected directly to it via a segment: that is, vertices A, C, and E

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Determine which lines are parallel and which are not parallel. Explain your reasoning.
NeX [460]

Answer:

If M and N are parallel, then the correspondent angles generated by the intersection with line R (or line S) should be equal.

So, if M and N are parallel, we should get that angles 2 and angle 4 are equal, as both of these are on the fourth quadrant of the intersection with the same line.

Similarly, if R and S are parallel, then correspondent angles generated by the intersection with line M (or line N) should be equal, this means that:

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Also remember that if we have two lines intersecting, generating 4 angles, any pair of two adjacent angles will always add to 180°.

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And here we do not have any information on the angles 1, 2, 5, and 6, so we can't compare the angles generated by line N with the ones generated by line M, so we can not know if lines N and M are parallel or not.

2) Now we have that:

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6 0
2 years ago
Because of the rainy season, the depth in a pond increases 3% each week. Before the rainy season started, the pond was 10 feet d
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