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Karolina [17]
3 years ago
14

Which ordered pair is a solution of the equation?

Mathematics
1 answer:
shepuryov [24]3 years ago
8 0

Answer:

  A  Only (2, 3)

Step-by-step explanation:

The given equation is in point-slope form:

  y -k = m(x -h) . . . . . a line with slope m through point (h, k)

The point in the given equation is ...

  (h, k) = (2, 3)

so you know the equation is satisfied at that point.

__

When you try the other point, you find ...

  For (x, y) = (3, 2), you have

  2 -3 = 5(3 -2)

  -1 = 5(1) . . . . FALSE

Point (3, 2) does not satisfy the equation.

  Only (2, 3) is a solution of the equation

_____

Of course, the equation of a line is satisfied by an infinite number of points. Of the two listed here, only (2, 3) is a solution.

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(02.06 MC) Figure ABCD is a rhombus, and m∠BAE = 9x + 2 and m∠BAD = 130°. Solve for x. Rhombus ABCD with diagonals AC and BD and
SVEN [57.7K]

An angle bisector divides an angle into equal parts.

<em>The value of x is 7</em>

The given parameters are:

\angle BAE = 9x + 2

\angle BAD = 130^o

Line AE is the angle bisector of \angle BAD

This means that:

\angle BAD = 2 \times \angle BAE

So, we have:

130 = 2 \times (9x + 2)

Divide both sides by 2

65 = 9x + 2

Subtract 2 from both sides

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Divide both sides by 9

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Rewrite as:

x = 7

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Read more about angle bisectors at:

brainly.com/question/12896755

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5 0
3 years ago
Need help with last one SOS
Veronika [31]
To find x, substract 72 and 78 from 180 since all triangles are 180°

180 - 72 - 80 = 30

So x = 30

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5 0
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Claire is on a business trip. She’ll be traveling from Liverpool, England, to Melbourne, Australia. The latitude value of Liverp
Alekssandra [29.7K]

Answer:

The change in latitude, Δφ, from Liverpool to Melbourne is 91.22° south

The change in longitude, Δλ, from Liverpool to Melbourne is 147.95° East

Step-by-step explanation:

The parameters given are;

The latitude of Liverpool is 53.41°

The longitude of Liverpool is -2.99°

The latitude of Melbourne is -37.81°

The longitude of Melbourne is 144.96°

The change in latitude from Liverpool to Melbourne = Δφ

Δφ = 53.41° - (-37.81°) = 53.41° + 37.81° = 91.22°

The change in latitude, Δφ, from Liverpool to Melbourne = 91.22° south

The change in longitude from Liverpool to Melbourne = Δλ

Δλ = -2.99° - 144.96°  = -147.95°

Therefore the change in longitude from Liverpool to Melbourne = 147.95° East.

6 0
3 years ago
Read 2 more answers
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