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Andreyy89
2 years ago
7

Linsay was going to visit her grandmother shop at the mall and then return home the route she took was in the shape of a triangl

e the distance between each patient visit it was 10 miles what type of triangle is formed by the route she traveled?
Mathematics
1 answer:
frez [133]2 years ago
8 0

Answer:

an equilateral triangle

Step-by-step explanation:

A triangle is a three-sided polygon with three edges and three vertices. the sum of angles in a triangle is 180 degrees

Area of a triangle = 1/2 x base x height

the perimeter of a triangle = sum of the side lengths

An equilateral triangle is a triangle with three equal sides. the distance travelled her all equal to 10 miles.

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Determine,in each of the following cases, whether the described system is or not a group. Explain your answers. Determine what i
zheka24 [161]

Answer:

(a) Not a group

(b) Not a group

(c) Abelian group

Step-by-step explanation:

<em>In order for a system <G,*> to be a group, the following must be satisfied </em>

<em> (1) The binary operation is associative, i.e., (a*b)*c = a*(b*c) for all a,b,c in G </em>

<em>(2) There is an identity element, i.e., there is an element e such that a*e = e*a = a for all a in G </em>

<em> (3) For each a in G, there is an inverse, i.e, another element a' in G such that a*a' = a'*a = e (the identity) </em>

<em> </em>

If in addition the operation * is commutative (a*b = b*a for every a,b in G), then the group is said to be Abelian

(a)  

The system <G,*> is not a group since there are no identity.  

To see this, suppose there is an element e such that  

a*e = a

then  

a-e = a which implies e=0

It is easy to see that 0 cannot be an identity.

For example  

2*0 = 2-0 = 2

Whereas

0*2 = 0-2 = -2

So 2*0 is not equal to 0*2

(b)

The system <G,*> is not a group either.

If A is a matrix 2x2 and the determinant of A det(A)=0, then the inverse of A does not exist.

(c)

The table of the operation G is showed in the attachment.

It is evident that this system is isomorphic under the identity map, to the cyclic group

\mathbb{Z}_{5}

the system formed by the subset of Z, {0,1,2,3,4} with the operation of addition module 5, which is an Abelian cyclic group

We conclude that the system <G,*> is Abelian.

Attachment: Table for the operation * in (c)

4 0
3 years ago
What does the line 2x-3y=7 look like
fenix001 [56]
2x-3y=7
-3y = -2x+7
y= 2x/3-7/3
slope of 2/3 (rise 2, run 3)
y-intercept of -7/3
Would be a positive line, starting low on left and rising towards right
4 0
3 years ago
At wendys, 3 baconators and 2 frosty cost $21.50. If 5 baconators and 1 frosty cost 30$, find the price of 1 baconnator and 1 fr
Gnom [1K]

Answer:

are you at wendys

Step-by-step explanation:

30/5=6 so 1 frosy is 6 dollars and 30-6=24 and 24/5=4.80

7 0
2 years ago
Read 2 more answers
What is <br> 8v+w+7−8v+2w
Bingel [31]

Answer:

3w+7

Step-by-step explanation:

Let's simplify step-by-step.

8v+w+7−8v+2w

=8v+w+7+−8v+2w

Combine Like Terms:

=8v+w+7+−8v+2w

=(8v+−8v)+(w+2w)+(7)

=3w+7

3 0
2 years ago
A 540-acre piece of land is being divided into 6-acre parcels. how many parcels will there be?
ryzh [129]
Basically, what you will do is 540 divided by 6

When you divide that, you should get, 90 parcels.

Hope this helps! Have a good rest of your day! c:
4 0
3 years ago
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