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1 year ago

Which step in the construction of copying a line segment ensures that the new line segment has

Mathematics

1 answer:

Nesterboy [21]1 year ago

5 0

The steps 5 and 6 in the construction of a new line segment ensures the lengths are equal.

A line segment in geometry has two different points on it that define its boundaries. Alternatively, we may define a line segment as a section of a line that joins two points.

Below are the steps for copying a line segment:

1. Let's begin with a line segment we need to copy, AB.

2. we take a point C at this stage. That will be one endpoint of the new line section, either below or above AB.

3. Now we place the the compass pointer on the point A of line segment AB.

4. We spread the compass out until point B, making sure that its breadth corresponds to the length of AB.

5. We place the compass tip on the point C created in step 2 without adjusting the compass's width.

6. We now draw a rough arc without adjusting the compass's settings. we add a point D oh the arc . The new line segment will be formed by this.

7. From C, draw a line to D;CD thus formed is equal to AB.

Hence steps 5 and 6 are the steps in the construction of a new line segment which ensures the lengths are equal.

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What is the equation of a line that passes through the point (5, −4) and is parallel to the line whose equation is 2x + 5y = 10?

dybincka [34]

What you should do first is simplify the equation into the y = mx + b format. Move 2x to the other side. Know that in doing this, 2x must become the opposite of what it currently is (-2) in order for the equation to remain true. We also have to take away the '10' because the line is parallel, not exactly the same, which means a different y intercept. This looks like:

$5y = -2x + b$

Next, simplify y to make things easier. This can be done by dividing both sides by 5, like so:

$\frac{5}{5}y = -\frac{2}{5}x + b$

What you should also know is that if a line is parallel to another, then this means the slope has to be the same because they both have the same changes in rise and run. With this in mind, simply plug in the x and y values.

$(-4) = -\frac{2}{5} * (5) + b$

$--> -4 = \frac{10}{5} + b$

$---> -4 = -2 + b$

Add 2 to both sides to isolate b.

$-4 + 2 = b$

Which means that -2 = b.

Now that we have the y intercept, we can write the equation of the line, which is $y = -\frac{2}{5}x - 2$ .

Hope this was helpful.

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3 years ago

Ammar is constructing an angle congruent to ∠MNP . With his straightedge, he draws and labels DE−→− . He places the compass poin

Svetlanka [38]

Ammar's next step is point C

<h3>Further explanation </h3>

Angles can be formed from two ray lines that have the same starting point

Commonly used terms include foot angle, corner point, and angle size

The magnitude of the angle is usually expressed in degrees

Naming angles can be with one letter according to the vertex or with three letters with the vertex placed between two other letters

There are several steps used to copy the MNP angle:

1. Draw the DE line

2.Places the compass point on point N and draws an arc that intersects NM (point Q) and NP (Point R)

3.Without changing the compass opening, put the compass point on point D and draw a long arc that intersects DE (point F)

4. Open the compass so that the compass point is on point Q and the pencil point is on point R. Then put the compass point on point F and draw an arc (intersect with the arc in step 3, and at this point we name it G)

5. Draw a line from point D to point G

Then the MNP is congruent to the EDG

<h3>Learn more </h3>

ABC copying angle

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Keywords: angle, copying, compass, arc

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3 years ago

Help me please.......... Will Give Brainlest if right

Zigmanuir [339]

Answer:

The answer would be C) 64 and 112

Step-by-step explanation:

If you go through each answer and find which perimeters they would have, you would get 108 for A, 312 for B, 352 for C, and 372 for D. The question says the perimeter is equal to 352 therefore C is the answer.

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Bezzdna [24]

Answer:

Step-by-step explanation:

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Using Table

P(0 ≤ Z ≤ 1) = 0.3413

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∴ P(Z > 45) = 0.1537

2) By compering (0 ≤ Z ≤ 15) ( that is 4:15pm)

P(Z ≤ 15 - 30/15) = P(Z ≤ -1)

Using Table

P(-1 ≤ Z ≤ 0) = 0.3413

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∴ P(Z < 15) = 0.1587

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P(Z ≤ 60 - 30/15) = P(Z ≤ 2)

Using Table

P(0 ≤ Z ≤ 1) = 0.4772

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