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2 years ago

Please help with this geometry question

Mathematics

1 answer:

Andrew [12]2 years ago

7 0

It has been proven that of all line segments drawn from a given point not on it, the perpendicular line segment is the shortest.

<h3>How to prove a Line Segment?</h3>

We know that in a triangle if one angle is 90 degrees, then the other angles have to be acute.

Let us take a line l and from point P as shown in the attached file, that is, not on line l, draw two line segments PN and PM. Let PN be perpendicular to line l and PM is drawn at some other angle.

In ΔPNM, ∠N = 90°

∠P + ∠N + ∠M = 180° (Angle sum property of a triangle)

∠P + ∠M = 90°

Clearly, ∠M is an acute angle.

Thus; ∠M < ∠N

PN < PM (The side opposite to the smaller angle is smaller)

Similarly, by drawing different line segments from P to l, it can be proved that PN is smaller in comparison to all of them. Therefore, it can be observed that of all line segments drawn from a given point not on it, the perpendicular line segment is the shortest.

Read more about Line segment at; brainly.com/question/2437195

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Make sure it's fully reduced. 2 - x = 5/8

postnew [5]

Isolate the x. Note the equal sign. What you do to one side, you do to the other.

First, subtract 2 from both sides

2 (-2) - x = (5/8) - 2

-x = 5/8 - 2

Make sure they have the same denominator. Remember that what you multiply to the denominator, you multiply the numerator:

-x = 5/8 - 16/8

-x = - 11/8

Isolate the x. Divide -1 from both sides

(-x)/-1 = (-11/8)/-1

x = 11/8

11/8 is your answer for x

~Rise Above the Ordinary

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3 years ago

F(x) = x^2 +3x-2 F(a) = ? find F(x) for the given domain.

Delvig [45]

Answer:

a^2 +3a-2

Step-by-step explanation:

Given the expression:

g(x) = x^2 +3x-2

We are to find f(a). To get this, we will simply replace x with a in the expression as shown;

g(a) = a^2 +3a-2

hence the required domain is expressed as g(a) = a^2 +3a-2

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3 years ago

Point A is at -7, -3. There are 12 points between A and B. What are possible coordinates for point B?

Finger [1]

Answer:

(5,9)

(-19, - 15)

(5, - 15)

(-19, 9)

Step-by-step explanation:

Given that :

Coordinate of point A = - 7, - 3

Number of points between point A and B = 12

Possible coordinate of point B

Possible coordinates of point B:

(-7, - 3) + 12 = (5, 9)

(-7, - 3) - 12 = (-19, - 15)

(-7, - 3) = (-7 +12, -3 - 12) = (5, - 15)

(-7, - 3) = (-7 - 12, - 3 + 12) = (-19, 9)

Hence possible coordinates of be are :

(5,9)

(-19, - 15)

(5, - 15)

(-19, 9)

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4 years ago

An international company has 25,800 employees in one country. If this represents 31.1% of the companies employees, how many empl

aksik [14]

Answer:

Rounded to the nearest integer, the company has a total of 82,958 employees.

Step-by-step explanation:

Given that an international company has 25,800 employees in one country, if this represents 31.1% of the companies employees, to determine how many employees does it have in total, the following calculation must be performed:

31.1 = 25,800

100 = X

100 x 25,800 / 31.1 = X

2,580,000 / 31.1 = X

82,958.1 = X

Thus, rounded to the nearest integer, the company has a total of 82,958 employees.

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3 years ago

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3 years ago