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4 years ago

Which of the following is not involved in constructing a circle inscribed in a triangle?

Mathematics

1 answer:

Angelina_Jolie [31]4 years ago

6 0

Constructing an a circle inscribed in a triangle involves these steps:

i) Draw 2 (or 3) of the angle bisectors. Their point of intersection is the center of the inscribed circle, or the incenter. Let's denote this point by O

ii) Draw a perpendicular line segment from the incenter to one of the sides. Let the intersection of the perpendicular from O and the side be T.

iii) Draw a circle with center the incenter, and radius the distance OT.

Answer: B) Only perpendicular bisectors are not involved.

You might be interested in

Find the distance between the pair of points. Round your answer to the nearest hundredth. (-8,19) and (3,5)

Amiraneli [1.4K]

Answer:

<h3>The answer is 17.80 units</h3>

Step-by-step explanation:

The distance between two points can be found by using the formula

$d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\$

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(-8,19) and (3,5)

The distance between them is

$d = \sqrt{ ({ - 8 - 3})^{2} + ({1 9 - 5})^{2} } \\ = \sqrt{( { - 11})^{2} + {14}^{2} } \\ = \sqrt{121 + 196} \\ = \sqrt{317} \: \: \: \: \: \: \: \: \: \: \: \: \\ = 17.804493...$

We have the final answer as

<h3>17.80 units to the nearest hundredth</h3>

Hope this helps you

5 0

3 years ago

Solve the compound inequality.

agasfer [191]

Answer:

Step-by-step explanation:

Solve each inequality one at a time:

5x ≤ 21 + 2x and

3x ≤ 21 so

x ≤ 7

The other inequality is

3x + 3 ≥ 24 and

3x ≥ 21 so

x ≥ 7

If x is less than or equal to 7 AND greater than or equal to 7, then the solution is all real numbers.

4 0

3 years ago

The perimeter of a rectangle room is 250 feet the length is 35 feet less than three times the width what is the length of the ro

raketka [301]

Perimeter of rectangle:
P = 2(L + W)
P = 250 (given)
L = 3W - 35 (given)

250 = 2(3W -35 + W) ↔ 125 = 4W - 35

4W = 125 +35 =160 And W = 40 ft
And L = 3x40 - 35 = 85 ft

6 0

3 years ago

Which is the same as moving the decimal point 3 places to the right in a decimal number

BlackZzzverrR [31]

Answer:

Moving the decimal 3 places to the right in a decimal number is the same as multiplying the number by 1000.

8 0

3 years ago

Solve for x 7x-4+4y+8=24+31

Anastasy [175]

Answer:

x = -4y/7 + 51/7

Step-by-step explanation:

First, you add all the numbers without variables and are on the same side.

7x - 4 + 4y + 8 = 55

Then you do the opposite sign (for example the opposite of addition is subtraction) of the two numbers without variables on the left side to add them to the right side(what you do on one side of the equation you must do on the other.

4x - 4 + 4 + 4y + 8 - 8 = 55 + 4 - 8

4x + 4y = 51

Then you get the x by itself by doing the same thing you did with the last step by this time with 4y. Because this has a variable, you don't add it onto the 51, but add as a different number.

4x + 4y - 4y = 51 - 4y

4x = -4y + 51

Now to isolate the x, you divide 4x by 4.

4x/4 = -4y/7 + 51/7

x = -4y/7 + 51/7

Your answer is x = -4y/7 + 51/7

4 0

3 years ago