1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Len [333]
3 years ago
15

Alexis is trying to partition segment ab in the ration 2:3 using a compass

Mathematics
2 answers:
CaHeK987 [17]3 years ago
0 0

Solution: The Steps are defined below,

Explanation:

To divide a line segment in 2:3 using compass alexis has to follow many steps:

1) Draw a line segment ab of length x.

2) Draw a line ac which makes an acute angle with the line ab.

3) Since alexis has to divide the line is 2:3, so make 2+3=5 arc of equal length of ac with the help of compass.

4) Name the fifth arc as d, so join the fifth arc with point b.

5) The draw a parallel to the line bd, and passing through the 2nd acr of ad. mark the second are as m.

6) Let the parallel line intersect at point n. Where the parallel line intersect the line ab, that point divides the line segment ab is 2:3.

By using above steps we get the figure same as the figure given below.

Serhud [2]3 years ago
0 0

The line \bf ab can be divided into the ratio 2:3 with the help of a compass.

Further explanation:

Given that Alexis is trying to partition a line segment \bf ab in the ratio 2:3 with the help of compass.

There are different methods to divide a line segment in the given ratio, but we will use a simple method to divide the line \bf ab in the ratio 2:3.

Given a line segment \bf ab, which is to be divided in the ratio of 2:3.

First draw any ray \bf ax which makes an acute angle with \bf ab.

Locate 5 points \bf a_{1},a_{2},a_{3},a_{4}\text{ and }a_{5} on the ray \bf ax such that \bf aa_{1},a_{1}a_{2},a_{2}a_{3},a_{3}a_{4} and \bf a_{4}a_{5} are equal, with the help of a compass.

Since, Alexis is trying to divide the line \bf ab into the ratio of 2:3, therefore, the ray \bf ax is divided into 5(2+3) points.

Now, join the point \bf b with the point \bf a_{5}.

From the point \bf a_{2}, draw a line parallel to \bf ba_{5} and this can be drawn by making an angle equal to \angle\text{aa}_{5}\text{b}.

Now, consider that the line that is drawn parallel to \bf ba_{5} intersect the given line \bf ab at the point \bf c.

The point of intersection on the line \bf ab is the point where it is divided into the ratio 2:3 as shown in Figure 1 (attached in the end).

The above used steps are used to divide any line in the given ratio.

Therefore, the line \bf ab can be divided into the ratio of 2:3.

Learn more:

1. Learn more about angles brainly.com/question/1953744

2. Learn about collinear points brainly.com/question/5191807

Answer details:

Grade: High school

Subject: Mathematics

Chapter: Constructions

Keywords: Alexis, compass, partition, segment, ab, ratio, 2:3, constructions, line, ray, parallel, intersection, angle, acute, geometry, line segment, acute angle.

You might be interested in
What is 10 times as many as
Talja [164]

Answer:

To answer this question, more information needs to be disclosed.

3 0
2 years ago
Exterior Angles and Isosceles Triangles
Ad libitum [116K]

Step-by-step explanation:

this is not an isoceles triangle.

anyway, we need to remember 2 things :

1. the sum of all angles in a triangle is always 180°.

2. the sum of all angles around a single point on a line is 360° (as this point wound be the center of an invisible circle). and as the line cuts this circle in half, the angles on one side of the line around this point is therefore 180°.

so, the internal angle Q is then

180 = 50 + 55 + Q

Q = 180 - 50 - 55 = 180 - 105 = 75°

the exterior angle x at Q is then

180 = Q + x = 75 + x

x = 180 - 75 = 105°

3 0
2 years ago
Read 2 more answers
Two students were asked if they liked to read. Is this a good example of a statistical question? Why or why not? A Yes, this is
guapka [62]

Answer:

c

Step-by-step explanation:

only 2 students were asked the question, 2 students don't represent the whole population

3 0
3 years ago
Read 2 more answers
2. Find the missing side length.<br> 9<br> 37°<br> 6
svetoff [14.1K]

Answer:

I found it! It's over here!!

Now what do I do with it?

8 0
2 years ago
Identify the property shown 8xy-8yx
sveticcg [70]
<h3>Answer:</h3><h3>commutative property of multiplication</h3><h3>The property used in the statement is the commutative property of multiplication.</h3>
7 0
2 years ago
Other questions:
  • What is the equation of a line that passes through the point (8, −2) and is parallel to the line whose equation is 3x + 4y = 15?
    13·1 answer
  • 20% of what amount is 8?
    7·1 answer
  • 1. What are the mean, median, mode and range of the data set given the altitude of lakes in feet:
    13·1 answer
  • 0.1 is 10 times as much as
    10·2 answers
  • Julia is selling bracelets (B) for each $3 each and necklaces (N) for $8 each. Write a inequality to represent all of the combin
    6·1 answer
  • Which equation shows the point-slope form of the line that passes through (3, 2) and has a slope of ? y + 2 =(x + 3) y – 2 = (x
    11·2 answers
  • A barrel of oil was filled at a constant rate of 7.5 gal/min. the barrel had 10 gallons before filling began. write an equation
    7·1 answer
  • Tính diện tích S của hình phẳng giới hạn bởi các đường y=x³,y=2-x² và x=-1
    14·1 answer
  • Colin invests £1100 into his bank account.
    9·2 answers
  • There were 75 people at a concert. Twenty five percent of them were younger than 13. How many people were thirteen or younger.
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!