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alexandr402 [8]
2 years ago
11

What is the slope of a line that is perpendicular to a line whose equation is −2y=3x+7 ?

Mathematics
2 answers:
Salsk061 [2.6K]2 years ago
6 0

Answer:

\frac{2}{3} is the Slope of a line that is perpendicular to a given line equation -2y=3x+7

Step-by-step explanation:

We are given here with the equation of the line -2y=3x+7 or we can write this equation as y=\frac{-3}{2}x+\frac{-7}{2}

the general equation of the line y=mx+b  where m is the slope and b is the y-intercept.

Compare the given equation with general equation we get,

the value of  slope(m) =\frac{-3}{2}

The slope of line perpendicular to a line is, m_{perpendicular}=\frac{-1}{m}

Since, the slope of the given line is, m=\frac{-3}{2}

then, m_{perpendicular}=\frac{-1}{\frac{-3}{2} }=\frac{2}{3}

Therefore, the slope of a line that is perpendicular to a line whose equation is -2y=3x+7 is, \frac{2}{3}

jarptica [38.1K]2 years ago
4 0
The answer is \frac{2}{3}
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Answer:

c. m∠1 + m∠6 = m∠4 + m∠6

Step-by-step explanation:

Given: The lines l and m are parallel lines.

The parallel lines cut two transverse lines. Here we can use the properties of transverse and find the incorrect statements.

a.  m∠1 + m∠2 = m∠3 + m∠4

Here m∠1 and m∠2 are supplementary angles add upto 180 degrees.

m∠3 and  m∠4 are supplementary angles add upto 180 degrees.

Therefore, the statement is true.

b. m∠1 + m∠5 = m∠3 + m∠4

m∠1 + m∠5 = 180 same side of the adjacent angles.

m∠3 + m∠4 = 180, supplementary angles add upto 180 degrees.

Therefore, the statement is true.

Now let's check c.

m∠1 + m∠6 = m∠4 + m∠6

We can cancel out m∠6, we get

m∠1 = m∠4 which  is not true

Now let's check d.

m∠3 + m∠4 = m∠7 + m∠4

We can cancel out m∠4, we get

m∠3 = m∠7, alternative interior angles are equal.

It is true.

Therefore, answer is c. m∠1 + m∠6 = m∠4 + m∠6

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yanalaym [24]
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Answer:

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Step-by-step explanation:

380-160=220

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answer 11 days

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