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nirvana33 [79]
2 years ago
11

M N. M (8x+17) (12x-39)

Mathematics
1 answer:
Ulleksa [173]2 years ago
3 0

Answer:

<em>Here </em><em>it </em><em>is </em><em>a </em><em>parallelogram </em><em>so </em><em>opposite </em><em>angles </em><em>of </em><em>parallelogram </em><em>are </em><em>equal</em><em>. </em>

Step-by-step explanation:

<em>so</em>

<em>8x </em><em>+</em><em>1</em><em>7</em><em> </em><em>=</em><em> </em><em>12x </em><em>-</em><em> </em><em>3</em><em>9</em>

<em>1</em><em>7</em><em>+</em><em>3</em><em>9</em><em> </em><em>=</em><em> </em><em>12x </em><em> </em><em>-</em><em> </em><em>8</em><em> </em><em>x</em>

<em>4x </em><em> </em><em>=</em><em> </em><em>5</em><em>6</em>

<em>Therefore </em><em>x </em><em>=</em><em> </em><em>1</em><em>4</em>

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A square garden plot measures 180 square feet. A second square garden plot measures 320 square feet. How many more feet of fence
REY [17]

The second garden plot will require 8√5 feet more fence than the first garden plot.

Further explanation:

In order to find the fence, we have to find the perimeter of both squares

So,

Area of Square 1: A1=180 square feet

Area of Square 2: A2=320 Square feet

Let x be the side of square 1:

Then,

A_1=x^2\\180=x^2\\Taking\ square\ root\ on\ both\ sides\\\sqrt{180}=\sqrt{x^2}\\x=\sqrt{2*2*3*3*5}\\x=\sqrt{2^2*3^2*5}\\x=2*3\sqrt{5}\\x=6\sqrt{5}

For second square:

Let y be the side of second square

A_2=y^2\\320=y^2\\Taking\ square\ root\ on\ both\ sides\\\sqrt{320}=\sqrt{y^2}\\y=\sqrt{2*2*2*2*2*2*5}\\y=\sqrt{2^2*2^2*2^2*5}\\y=2*2*2\sqrt{5}\\y=8\sqrt{5}

Perimeter of First Square:

P_1=4x\\=4(6\sqrt{5})\\=24\sqrt{5}\ feet

Perimeter of Second Square:

P_2=4y\\=4(8\sqrt{5})\\=32\sqrt{5}\ feet

The smaller perimeter will be subtracted from larger perimeter to find that how much more fence will be needed.

P_2-P_1=32\sqrt{5}-24\sqrt{5}\\=(32-24)\sqrt{5}\\=8\sqrt{5}\ feet

The second garden plot will require 8√5 feet more fence than the first garden plot.

Keywords: Radicals, Operations on Radicals

Learn more about radicals at:

  • brainly.com/question/13219835
  • brainly.com/question/1836777

#LearnwithBrainly

6 0
3 years ago
steven can type 160 words in 2 minutes and 30 seconds at this rate, how many words can he type in 4 minutes?
Gnom [1K]

Answer:

hello : 256 words

Step-by-step explanation:

2 minutes and 30 = (2×60)+30=150seconds

4 minutes = 4 ×60 = 240 seconds

 150seconds  →160 words

240 seconds → x ?

x = (160×240) / 150 = 38400/150= 256 words

6 0
3 years ago
Please help me out with this question
julsineya [31]
1) The process of cellular respiration takes place in the mitrochondria.
2) The process of photosynthesis takes place in the chloroplasts. Only plant cells and the cells of autotrophic protists and some bacteria undergo this process.
3) Phospholipids are lipids that consist of glycerol joined to two fatty acids and a phosphate group, which gives this molecule two nonpolar hydrophobic tails and a polar hydrophilic head. Phospholipids form bilayers that are used to make up biological membranes.
4)While there are definitely many more than 4 important molecules, I'm assuming the ones you are looking for are carbohydrates, proteins, Nucleic acids, and lipids.
5)A molecule is made up of two or more atoms held together by covalent bonds, whereas a compound is a substance containing two or more elements in a fixed ratio. Both molecules and compounds are made up of atoms/elements, however, compounds MUST be made up of two different kinds of elements, while molecules could consist of the same kind.

Hope this helps! :)
7 0
3 years ago
What can be concluded from the statement ∠1 + ∠2 = 90°?
irinina [24]
  • <1+<2=90°

The sum of measures of angles A and B is 90°

Hence the angles are complementary

  • As complementary angles have sum 90°

8 0
1 year ago
The expression √93 is in between two whole numbers. Write the two numbers with a comma and a space in between (for example: 1, 2
Ann [662]

Answer:

9, 10

Step-by-step explanation:

9² = 81

10² = 100

3 0
2 years ago
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