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zzz [600]
2 years ago
8

Pls I need help with this geometry problem. It's due today.

Mathematics
1 answer:
svetoff [14.1K]2 years ago
5 0

Step-by-step explanation:

Yz / RT = SZ / ST

2X +2 / 3X -7 = 35 / 40= 7 / 8

8( 2x+2) = 7( 3x-7 )

16 x +16 = 21x 49

5x = 65

x =13

YZ = 2×13 +2 = 28

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4 pencils and 3 crayons are 20.9 inches. 5 pencils and 4 crayons are 26.5 inches. Each pencil is the same length as the other pe
erastova [34]

Answer:

The length of the pencils is 4.1 inches and for the crayons 1.5 inches

Step-by-step explanation:

We can solve by means of a 2x2 system of equations, we have to:

let "x" be the length of the pencils

let "y" be the length of the crayons

4 * x + 3 * y = 20.9

5 * x + 4 * y = 26.5 => x = (26.5 - 4 * y) / 5

Replacing:

4 * (26.5 - 4 * y) / 5 + 3 * y = 20.9

21.2 - 3.2 * y + 3 * y = 20.9

-0.2 * y = 20.9 - 21.2

y = -0.3 / -0.2

y = 1.5

now for x:

x = (26.5 - 4 * 1.5) / 5

x = 4.1

This means that the length of the pencils is 4.1 inches and for the crayons 1.5 inches

5 0
3 years ago
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
The area of a bookshelf is 216 square inches.If the length of the bookshelf is 36 inches what is the width of the bookshelf?
yaroslaw [1]
Area  = Length x width
216 = 36 x width
width = 216 ÷ 36 = 6 inches
6 0
3 years ago
Read 2 more answers
Ms. Carey is planning to host a neighborhood picnic. To make sure she had enough ingredients, she was making a table of possible
Anna71 [15]

Answer:

558

Step-by-step explanation:

I can't say :>

3 0
3 years ago
Julie wants to buy tulip bulbs to plant. Each bulb costs $0.50 plus a one-time $4.50 shipping cost. She has $22 to spend.
kumpel [21]

Answer:

0.50 x 4.50 = 69.42.00 and 22 = 47.420.00

Step-by-step explanation:

47.420.00

7 0
2 years ago
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