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dmitriy555 [2]
2 years ago
15

Parallelogram P Q S R is shown. The length of P Q is (2 x + 5) centimeters and the length of R S is (4 x + 1) centimeters.

Mathematics
1 answer:
lisabon 2012 [21]2 years ago
8 0

Answer:

9 cm

Step-by-step explanation:

In a parallelogram, opposite sides are equal.

RS = PQ

4x + 1 = 2x + 5

Now, to find the value of x,

Step1. Subtract 1 from both sides

4x = 2x + 5 - 1

4x = 2x + 4

Step 2: Subtract 2x from both sides

4x - 2x = 4

      2x = 4

Step 3: Divide both sides by 2

        x = 4/2

x = 2

PQ = 2x + 5

     = 2*2 + 5

     = 4 + 5

PQ = 9 cm

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Answer:

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Step-by-step explanation

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4 0
3 years ago
the width of a rectangle is 12 cm less than the length the perimeter is 156 cm. Find the with and length
mamaluj [8]

We know that the perimeter of a rectangle is twice the length, plus twice the width.  

P = 2L + 2W  

We also know that the perimeter is 156.  

P = 156  

Finally, we know that the width is 12 less than the length.  

W = L - 12.  

The next thing that we do is substitute the information that we have into the original equation:  

P = 2L + 2W  

156 = 2L + 2(L - 12)  

From this point we start to solve  

156 = 2L + 2L - 24 <---we multiplied the '2' through the parenthesis  

156 + 24 = 2L + 2L - 24 + 24  

180 = 2L + 2L <--- getting like terms on same sides  

180 = 4L <---combining like terms  

180/4 = 4L/4 <--- getting like terms on same sides  

45 = L <---now we have a value for L  

Now we take the known value for L and substitute it in to our equation for W  

W = L - 12  

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So now we have Length = 45 and Width = 33.

6 0
3 years ago
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Sauron [17]
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Explanation:
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8 0
4 years ago
Evaluate: 792.6 ÷ 10-4<br><br> remember it is not 10-4. it is 10 to the -4 power
jarptica [38.1K]

Answer:

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Step-by-step explanation:

For this question you can add four zeroes to the back of 792.6 andmove the decimal to get you the answer, hope this helps

It's also good to know that if the exponent was positive the answer would be 0.07926

3 0
3 years ago
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