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Alenkasestr [34]
1 year ago
5

A rectangle. one side is 2x + 7 and the other is x+3

Mathematics
1 answer:
saveliy_v [14]1 year ago
6 0

\large{\green}\fcolorbox{purple}{pink}{\bf{\underline{\red{\color{red}Answer}}}}

6x + 20

Step-by-step explanation:

  • <u>To</u><u> </u><u>find</u><u> </u><u>:</u><u>-</u>

Perimeter of rectangle

  • <u>Given</u><u> </u><u>:</u><u>-</u>

Length = 2x + 7

Breadth/width = x + 3

  • <u>Solution</u><u> </u><u>:</u><u>-</u>

<em>We</em><em> </em><em>know</em><em> </em><em>that</em>

<em>\mathfrak {perimeter \: of \: rectangle =2(length + breadth) }</em>

<em>Now</em><em> </em><em>we</em><em> </em><em>will</em><em> </em><em>substitute</em><em> </em><em>the</em><em> </em><em>values</em><em> </em><em>of</em><em> </em><em>length</em><em> </em><em>and</em><em> </em><em>breadth</em>

<em>\sf  \longmapsto perimeter = 2 \{(2x + 7) + (x + 3) \} \\  \\  \\  \sf \longmapsto perimeter = 2 \{3x + 10 \} \\  \\  \\  \sf  \longmapsto perimeter = 6x + 20</em>

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Crazy boy [7]

Answer:

1. 2(k + 3)

2. 3. 75 + k

Step-by-step explanation:

1. 2x + 6

Since, 2 is a common factor of 2 and 6, we can take that common outside.

So, 2x + 6 = 2(x + 3)

Note that in the initial expression, this 2 was distributed to arrive at 2x + 6.

2. (1.5 + k) + 2.25

This is simple addition. We can simply remove the brackets to have:

1.5 + k + 2.25

Since, the like terms can be added, we will have:

1.5 + 2. 25 + k

= 3. 75 + k

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3 years ago
Jada is using 84 one-centimeter cubes to build a rectangular prism. She wants the height of the rectangular prism to be 4 centim
Black_prince [1.1K]

Answer:

One rectangular prism is possible with 7cm × 3cm × 4cm.

Step-by-step explanation:

Jada used number of cubes = 84

Side of one small cube = 1 cm

Volume of one small cube = 1 cm³

Volume of 84 small cubes = 84 cm³

She wants to build a rectangular prism with height = 4 cm

Let the length of the prism = x cm

and the width of the prism = y cm

and x > y

Volume of the prism = length × width × height

                                  = (x)(y)(4)

                                  = 4xy cm³

If the volume of prism = volume of 84 small cubes

Then 4xy = 84

xy = 21

Possible values of x = 3, 7

and y = 7, 3

But x > y

So x = 7 and y = 3 will be the answer.

Therefore, only one rectangular prism is possible with dimensions

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3 years ago
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4 0
3 years ago
Read 2 more answers
If m&lt;13=m&lt;15=m&lt;7, what conclusions can you make about lines a, b, c, and d?
Strike441 [17]

Answer:

option D

Lines a and b are parallel and lines c and d are parallel.

Step-by-step explanation:

Given in the question four lines a , b, c, d.

<h3>Prove one</h3>

If two parallel lines (a,b) are cut by a transversal(d), then corresponding angles m<7 and m<15 are congruent.

They are know as corresponding angles.

Hence lines a and b are parallel.

<h3>Prove two</h3>

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Hence lines c and d are parallel

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3 years ago
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