Rhombus L M N O is shown. Diagonals are drawn from point L to point N and from point M to point O and intersect at point P. The length of L M is 3 x minus 3 and the length of M N is x + 7.

What is the perimeter of rhombus LMNO?

20 units

24 units

40 units

48 units

48 units

Step-by-step explanation:

In a rhombus, all the sides are equal. This is shown by equality sign on each side of the given rhombus. Therefore,

LM = MN

3x - 3 = x + 7

Subtracting x from the left hand side and the right hand side of the equation, it becomes

3x - x - 3 = x - x + 7

2x - 3 = 7

Adding 3 to the left hand side and the right hand side of the equation, it becomes

2x - 3 + 3 = 7 + 3

2x = 10

x = 10/2 = 5

Therefore, the length of each side is

3 × 5 - 3

= 15 - 3 = 12

Therefore, the perimeter of the rhombus is

12 × 4 = 48 units

answer:

payment just for service  

→

$

87.12

payment for service including tax

→

$

94.09

explanation:

service only with 20% tip  

→

$

72.6

(

1

+

20

100

)

=

$

87.12

in the opening of the question the word 'service' is associated only with the pretax value.

the closing part of the question asks: how much did she pay for the  

service

−−−−−−  

so technically the answer is  

→

$

72.6

(

1

+

20

100

)

=

$

87.12

however, the intention of the question provider may have been that your answer is to be  

$

87.12

(

1

+

8

100

)

=

$

94.09

to 2 decimal places.

'

payment just for service  

→

$

87.12

payment for service including tax

→

$

94.09

tony b

mar 21, 2017

answer:

trying to explain it another way

explanation:

service charge  

.

→

$

72.60

20% tip  

20

100

×

$

72.60

=

$

14.52

−−−−−−  

←

add

$

87.12

tax  

8

100

×

$

87.12

=

$

6.97

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$

94.09

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