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maks197457 [2]
4 years ago
8

In a parallelogram one side is 5x-4 and the consecutive side 2x+3.If the perimeter is 166cm,find the lengths of the sides.

Mathematics
1 answer:
evablogger [386]4 years ago
4 0

Answer:

5x - 4 = 56

2x + 3 = 27

Step-by-step explanation:

2(5x - 4 + 2x + 3) = 166

10x - 8 + 4x + 6 = 166

14x - 2 = 166

     + 2     +2

14x = 168

divide both sides of the equal sign by 14

12

5(12) - 4 = 60 - 4 = 56

2(12) + 3 = 24 + 3 = 27

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4 years ago
Read 2 more answers
A box with no top is to be constructed from a piece of cardboard whose length measures 5 in. more than its width. The box is to
ddd [48]

Answer:

9\text{ inch, }14\text{ inch, }2\text{ inch}

Step-by-step explanation:

GIVEN: A box with no top is to be constructed from a piece of cardboard whose length measures 5\text{ inch} more than its width. The box is to be formed by cutting squares that measure 2\text{ inch} on each side from the four corners and then folding up the sides.

TO FIND: If the volume of the box will be 100\text{ inch}^3​, what are the dimensions of the piece of​ cardboard.

SOLUTION:

Let the width of cardboard be x

length of cardboard =x+5\text{ inch}

As box is formed by cutting 2\text{ inch } squares from corners of cardboard

length of cardboard =x+5-4=x+1\text{ inch}

width of cardboard  =x-4\text{ inch}

height of cardboard =2\text{ inch}

volume of cardboard =\text{length}\times\text{width}\times\text{height}

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x^2-3x-54=0

solving we get

x=9,-6

width of cardboard =9\text{ inch}

length of cardboard =x+5=14\text{ inch}

height of cardboard =2\text{ inch}

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Match each number on the left with the correct description of the number on the right.
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Answer:

I hope this helps you

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