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Maslowich
3 years ago
11

Find x and y. Give reasons to justify your solution

Mathematics
2 answers:
Luda [366]3 years ago
8 0

Step-by-step explanation:

27 + 3y = 90

3y = 90 - 27

y = 21

27 + (21×3) + x + 8x + 18 = 180 ( angles on a straight line sum up to 180)

9x + 108 = 180

9x = 180 - 108

9x = 72

x = 72/9

x = 8 degrees

kkurt [141]3 years ago
4 0

Answer:

Y=21

X=8

Step-by-step explanation:

In the middle there is a right angle

therefore 27 +3y=90

Y will be 21

Then x+27+63+8x+18=180

x=8

Hence 8+27+3(21)+8(8)+18=180

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The formula for the volume of this rectangular prism is:
juin [17]

Answer:

Step-by-step explanation: Explanation:

If

L

,

H

and

W

represent the length, height and width of the prism, then the volume of the rectangular prism is :

V

=

L

.

H

.

W

............. (1)

Given :

V

=

x

3

+

11

x

2

+

20

x

−

32

;

............... (2)

W

=

(

x

−

1

)

;

   

H

=

(

x

+

8

)

.

Let

L

=

(

x

+

l

0

)

be the expression for the length, then the RHS of equation (1) becomes

L

.

H

.

W

=

(

x

−

l

0

)

(

x

+

8

)

(

x

−

1

)

,

   

   

   

   

=

(

x

+

l

0

)

(

x

2

+

7

x

−

8

)

   

   

   

   

=

(

x

+

l

0

)

(

x

2

+

7

x

−

8

)

   

   

   

   

=

x

3

+

(

7

+

l

0

)

x

2

+

(

7

l

0

−

8

)

x

−

8

l

0

..... (3)

Comparing this to the LHS of equation (1), we get the following set of equations to solve for

l

0

,

7

+

l

0

=

11

;

   

7

l

0

−

8

=

20

;

   

8

l

0

=

32

;

l

0

=

4

Therefore

L

=

(

x

+

4

)

8 0
3 years ago
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