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polet [3.4K]
3 years ago
12

Does the construction demonstrate how to bisect a segment correctly by hand?

Mathematics
2 answers:
ad-work [718]3 years ago
8 0

Answer:

A

Step-by-step explanation:

Aleonysh [2.5K]3 years ago
6 0

Answer:

Yes; the compass was kept at the same width to create the arcs for points C and D.

Step-by-step explanation:

When bisecting a segment by hand the steps are:

-Place the compass on one of the endpoints and open the compass to a distance more than halfway across the segment.

-Swing an arc on either side of the segment.

-Keeping the compass at the same width, place the compass on the other endpoint and swing arcs on either side so that they intersect the first two arcs created.

-Mark the intersection points of the arcs and draw a line through those two points.

-The point where this new line crosses the given segment is the midpoint and divides the segment in half.

Its not b because segment c and d was created when you marked the intersection points of the arcs and just drew a line through those two points; They didn't use a straightedge. its not C because this does demonstrate how to bisect a segment by hand, Also the compass was kept at the same width to create the arcs for points C and D. Its not D because this does demonstrate how to bisect a segment by hand, Also a straightedge was not used to create segment CD.

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The sum of two numbers is 33. Their difference is 23. Find the numbers.
Ipatiy [6.2K]

Answer: The numbers are 28 and 5

Step-by-step explanation: The question gives a set of clues. In the first instance, the addition of two numbers equals 33. Let us assume the two numbers are A and B. What that means is that

A + B = 33.

We shall call this equation 1.

The other clue is given as “their difference is 23.” This can be expressed as

A - B = 23.

We shall call this equation 2.

Now we have a pair of simultaneous equations as follows

A + B = 33 —————-(1)

A - B = 23 —————-(2)

We shall use the substitution method

From equation (1), if we make A the subject of the equation we shall move B to the other side and we’ll have

A = 33 - B

Substitute for the value of A in equation (2)

A - B = 23 now becomes

(33 - B) - B = 23

33 - B - B = 23

33 - 2B = 23

By collecting like terms we now have 33 - 23 = 2B

(Remember that when a positive value crosses to the other side of an equation, it becomes negative, and vice versa)

33 - 23 = 2B

10 = 2B

Divide both sides of the equation by 2

5 = B

If we calculate B as 5

We can substitute for this value into equation 1, which is

A + B = 33

A + 5 = 33

Subtract 5 from both sides of the equation

A + 5 - 5 = 33 - 5

A = 28.

Therefore the numbers are 28 and 5.

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3 years ago
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If x is 0 then I think it would be the 3 to the second power and that is 9. Because 0 + 9 = 9. Correct me if I’m wrong!
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John paid $450 for a new mountain bicycle to sell in his shop. He wants to price it so that he can offer a 10% discount but stil
Ghella [55]

Answer:

$643.50

Step-by-step explanation:

Let i be the profit realized from the sale and d be the discount made on the sale:

#John's selling price can be calculated by first adding profit, i to $450, the d to the new price as:

P_n=P_o(1+i)+d[P_o(1+i)]\\=450(1+0.3)+0.1[450(1+0.3)]\\\\\\=450\times 1.3+0.1(450\times1.3)\\\\=585+58.5\\\\=643.50

Hence, John will resell the bike at $643.50

8 0
3 years ago
A circle has the center of (1,-5) and a radius of 5 determine the location of the point (4,-1)
Sliva [168]

"determine the location" or namely, is it inside the circle, outside the circle, or right ON the circle?

well, we know the center is at (1,-5) and it has a radius of 5, so the distance from the center to any point on the circle will just be 5, now if (4,-1) is less than that away, is inside, if more than that is outiside and if it's exactly 5 is right ON the circle.

well, we can check by simply getting the distance from the center to the point (4,-1).

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