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Andreyy89
3 years ago
5

Write the ordered pair for each point

Mathematics
1 answer:
Digiron [165]3 years ago
8 0

to find an ordered pair for each point we need to know what the points are

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Answer:

  • A, B, C, E

Step-by-step explanation:

A rhombus is the parallelogram with perpendicular diagonals. All

<u>Correct statements, reasons:</u>

  • A - adjacent angles are supplementary
  • B - opposite sides are parallel
  • C - diagonals are perpendicular
  • E - opposite sides are congruent

<u>Incorrect statements, reasons:</u>

  • D - opposite angles are congruent, but not supplementary
  • F - diagonals are not congruent, it would be square not rhombus
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Write the fraction in order from least to greatest 9/10,1/2,4/5
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1/2, 4/5, 9/10

Step-by-step explanation:


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Step-by-step explanation:

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Step-by-step explanation:

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3 years ago
Write an equation of the line passing through the point (5, 1) that is perpendicular to the line 5x+3y=15. An equation of the li
pochemuha

Answer:

\displaystyle y = \frac{3}{5}\, x + (-2).

Step-by-step explanation:

The slope of a line in a plane would be m if the equation of that line could be written in the slope-intercept form y = m\, x + b for some constant b.

Find the slope of the given line by rearranging its equation into the slope-intercept form.

3\, y = (-5)\, x + 15.

\displaystyle y = \frac{(-5)}{3} \, x + 5.

Thus, the slope of the given line would be (-5) / 3.

Two lines in a plane are perpendicular to one another if and only if the product of their slopes is (-1).

Let m_{1} and m_{2} denote the slope of the given line and the slope of the line in question, respectively.

Since the two lines are perpendicular to each other, m_{1}\, m_{2} = (-1). Apply the fact that the slope of the given line is m_{1} = (-5) / 3 and solve for m_{2}, the slope of the line in question.

\begin{aligned}m_{2} &= \frac{(-1)}{m_{1}} \\ &= \frac{(-1)}{(-5) / 3} = \frac{3}{5}\end{aligned}.

In other words, the slope of the line perpendicular to 5\, x + 3\, y = 15 would be (3 / 5).

If the slope of a line in a plane is m, and that line goes through the point (x_{0},\, y_{0}), the equation of that line in point-slope form would be:

(y - y_{0}) = m\, (x - x_{0}).

Since the slope of the line in question is (3 / 5) and that line goes through the point (5,\, 1), the equation of that line in point-slope form would be:

\begin{aligned} (y - 1) = \frac{3}{5}\, (x - 5) \end{aligned}.

Rearrange this equation as the question requested:

\begin{aligned} y - 1 = \frac{3}{5}\, x - 3 \end{aligned}.

\begin{aligned} y = \frac{3}{5}\, x - 2 \end{aligned}.

\begin{aligned} y = \frac{3}{5}\, x + (-2) \end{aligned}.

7 0
2 years ago
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