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miv72 [106K]
3 years ago
6

A rug maker is using a patter that is a rectangle with a length of 96 inches and a width of 60 inches. the rug maker wants to in

crease each dimension by a different amount. let l and w be the increases in inches of the length and width. write and simplify an expression for the perimeter of the new pattern
Mathematics
1 answer:
dexar [7]3 years ago
8 0
Recall that the formula for the perimeter of a rectangle is: 2Length+2Width
With this in mind, we have that the original design is 96×60, where 90 is length and 60 is width, so it would simply be:
2(96+l) + 2 (60+w) = New Perimeter
Or simplified, it'd be:
2l + 2w + 312 = New Perimeter
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3x - 3y = -3<br>2x - y = -5​
Korolek [52]

For this case we must solve the following system of equations:

3x-3y = -3\\2x-y = -5

To solve we follow the steps below:

We multiply the second equation by -3:

-6x + 3y = 15

Thus, we have the equivalent system:

3x-3y = -3\\-6x + 3y = 15

We add the equations:

3x-6x-3y + 3y = -3 + 15\\-3x = -3 + 15\\-3x = 12\\x = \frac {12} {- 3}\\x = -4

We look for the value of the variable "y":

2 (-4) -y = -5\\-8-y = -5\\-y = -5 + 8\\-y = 3\\y = -3

Thus, the solution of the system is given by:

(x, y): (- 4, -3)

Answer:

(x, y): (- 4, -3)

4 0
3 years ago
Find the Arithmetic mean<br> between 6 and 12​
mafiozo [28]

Step-by-step explanation:

Arithmetic mean

A.M. =  \frac{6 + 12}{2}  =  \frac{18}{2}  = 9 \\

6 0
3 years ago
Read 2 more answers
Tell me how you got the it
stich3 [128]

Answer:

  x° = 67°

Step-by-step explanation:

1. The first three diagrams are showing you that opposite exterior angles are congruent. Based on that, when you are faced with opposite exterior angles in the fourth diagram, you are able to conclude they are congruent. That means x° = 67°.

2. You can determine the other angles in the figure based on linear angles being supplementary, and same-side interior angles being supplementary. After you work through all the angles, you find that x = 67.

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3 years ago
(x3)(x-5)<br> Fududeey<br> X=2
Pepsi [2]

Answer:

-18 is the right answer..

4 0
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My name is Ann [436]
167 + 19 = 186x

186x + 16 = 1132

subtract 16 from both sides

186x = 1116

divide by 186 on both sides

x = 6

they bought 6 tickets total
4 0
3 years ago
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