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Masteriza [31]
3 years ago
13

The perimeter of pqrs is 84. Find the length of each side qr=3(rs)

Mathematics
1 answer:
kramer3 years ago
3 0
Pq= 10.5, qr=31.5, rs=10.5, sp=31.5
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Bryce tried to solve an equation step by step. \qquad\begin{aligned} \dfrac83&amp;=3\left(c+\dfrac53\right)\\\\ \\ \dfrac83&amp;
sesenic [268]

Answer:

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Explanation

Given the steps taken by bryce as shown, we are to find where he made an error

\qquad\begin{aligned} \dfrac83&=3\left(c+\dfrac53\right)\\\\ \\ \dfrac83&=3c+\dfrac53&\green{\text{Step } 1}\\\\ \\ 1&=3c&\blue{\text{Step } 2}\\\\ \\ \dfrac13&=c&\purple{\text{Step } 3}\\\\ \end{aligned}

Given the expression;

\dfrac83&=3\left(c+\dfrac53\right)\\\\ \\

Step 1:Expand the bracket using the distributive law;

8/3 = 3c + 3(5/3)

<em>Simplify</em>

8/3 = 3c + 15/3

Step 2: Subtract 15/3 from both sides

8/3 - 15/3 = 3c+15/3-15/3

(8-15)/3 = 3c

-7/3 = 3c

Step 3: Multiply both sides by 1/3

-7/3 * 1/3 = 3c * 1/3

-7/9 = c

Swap

c = -7/9

From the calculation, we can see that Bryce is wrong in step 1 because he did not distribute 3 over 5/3 thereby making his solution incorrect

3 0
2 years ago
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Elza [17]

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Step-by-step explanation:

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Hope this helps :)

3 0
3 years ago
Read 2 more answers
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