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vaieri [72.5K]
3 years ago
14

3. A line segment whose endpoints are (3,9) and (7,k) is perpendicular to a line whose slope is --2. Which

Mathematics
1 answer:
Inga [223]3 years ago
3 0

Answer:

  (3)  11

Step-by-step explanation:

A line perpendicular to one with a slope of -2 will have the opposite reciprocal slope: -1/(-2) = 1/2.

The point-slope equation of the line through (3, 9) with slope 1/2 is ...

  y -9 = 1/2(x -3)

Then for point (7, k) on the line we have ...

  k -9 = 1/2(7 -3)

  k = 9 +2 = 11

The value of k is 11.

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It should be noted that angle 2 and angle 1 are vertical angles and angle 2 and angle 5 are linear pair.

<h3>How to illustrate the information?</h3>

When two lines cross at a point, vertical angles are created. They are always on an equal footing. In other words, four angles are created anytime two lines cross or intersect. It is evident that two opposed angles are equal and are referred to as vertical angles.

When two lines cross at one point, a linear pair of angles is created. If the angles follow the intersection of the two lines in a straight line, they are said to be linear. A linear pair's total angles are always equal to 180°. These are also referred to as additional angles.

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1 year ago
-7p = -3p - 8<br> p =<br> Help
jeka94

Answer:

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Step-by-step explanation:

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3 years ago
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