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eduard
3 years ago
6

Solve for x. Please help !

Mathematics
1 answer:
Ne4ueva [31]3 years ago
7 0

Answer:

  1. x = 37 1/2
  2. x = 2

Step-by-step explanation:

Parallel lines divide transversals proportionally. I like to write the proportions so the variable is in the numerator. Then the solution is obtained by multiplying by the denominator of the variable term.

1. x/20 = (46 -16)/16

  x = 20(30/16)

  x = 37.5

__

2. (x +4)/13.5 = 4/9

  x +4 = 13.5(4/9) = 6

  x = 6 -4

  x = 2

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672,591 rounded to the nearest hundred thousand
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A water desalination plant can produce 2x10^6 gallons of water in one day. How many gallons can it produce in 8.7 days?
arlik [135]

Answer:

2x10^6 = 2 Million gallons of water.

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Step-by-step explanation:

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3 years ago
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Is (5,0) , (4,2), (3,4), (2,6), (1,8) a linear function?
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Answer:

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Step-by-step explanation:

Is (5,0) , (4,2), (3,4), (2,6), (1,8) a linear function?

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3 years ago
Determine which of the following sets of three points constitute the vertices of a right triangle: (a) 3 + 5i,2 +2i,5i; (b)2i,3
Illusion [34]

Answer:

Option (c) is correct

Step-by-step explanation:

Case (a)

A = 3 + 5i = (3, 5)

B = 2 + 2i = (2, 2)

C = 5i = (0, 5)

Use the distance formula to find the distance between two points

AB = \sqrt{(2-3)^{2}+(2-5)^{2}}=\sqrt{10}

BC = \sqrt{(0-2)^{2}+(5-2)^{2}}=\sqrt{13}

CA = \sqrt{(0-3)^{2}+(5-5)^{2}}=\sqrt{9}

For the triangle to be right angles triangle

BC^{2}=AB^{2}+CA^{2}

Here, it is not valid, so these are not the points of a right angled triangle.

Case (b)

A = 2i = (0, 2)

B = 3 + 5i = (3, 5)

C = 4 + i = (4, 1)

Use the distance formula to find the distance between two points

AB = \sqrt{(3-0)^{2}+(5-2)^{2}}=\sqrt{18}

BC = \sqrt{(4-3)^{2}+(1-5)^{2}}=\sqrt{17}

CA = \sqrt{(4-0)^{2}+(1-2)^{2}}=\sqrt{17}

For the triangle to be right angles triangle

AB^{2}=BC^{2}+CA^{2}

Here, it is not valid, so these are not the points of a right angled triangle.

Case (c)

A = 6 + 4i = (6, 4)

B = 7 + 5i = (7, 5)

C = 8 + 4i = (8, 4)

Use the distance formula to find the distance between two points

AB = \sqrt{(7-6)^{2}+(5-4)^{2}}=\sqrt{2}

BC = \sqrt{(8-7)^{2}+(4-5)^{2}}=\sqrt{2}

CA = \sqrt{(8-6)^{2}+(4-4)^{2}}=\sqrt{4}

For the triangle to be right angles triangle

CA^{2}=BC^{2}+AB^{2}

Here, it is valid, so these are the points of a right angled triangle.

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3 years ago
The radius of a circular musical drum is 70 centimeters.<br> Find its area.<br> Use 7 = - 3.14
Kazeer [188]

Answer:

I got 219.8 as my answer, hope this helps!

7 0
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