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White raven [17]
3 years ago
12

how can you copy a angle using a straightedge, a compass, and a pencil, give step by step instructions

Mathematics
2 answers:
Murljashka [212]3 years ago
8 0

Start with a angle BAC that we will copy.
1. Make a point P that will be the vertex of the new angle.
2. From P, draw a ray PQ. This will become one side of the new angle.

This ray can go off in any direction.
It does not have to be parallel to anything else.
It does not have to be the same length as AC or AB.

3. Place the compasses on point A, set to any convenient width.
4. Draw an arc across both sides of the angle, creating the points J and K as shown.
5. Without changing the compasses' width, place the compasses' point on P and draw a similar arc there, creating point M as shown.
6. Set the compasses on K and adjust its width to point J.
7. Without changing the compasses' width, move the compasses to M and draw an arc across the first one, creating point L where they cross.
8. Draw a ray PR from P through L and onwards a little further. The exact length is not important.
Done. The angle ∠RPQ is congruent (equal in measure) to angle ∠BAC.
MissTica3 years ago
6 0

Answer:

Step-by-step explanation: Draw a working line, l, with point B on it.

Open your compass to any radius r, and construct arc (A, r) intersecting the two sides of angle A at points S and T.

Construct arc (B, r) intersecting line l at some point V.

Construct arc (S, ST).

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Step-by-step explanation:

if we decidedly factor this expression-

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= (2x + y)^2

as you can see it is a perfect square so it can be grouped into (2x+y)^2

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Some students are trying to write an expression with fewer terms that is equivalent to 8 - 3(4 - 9x). Noah says, "I worked the p
Irina-Kira [14]

Answer: Yes I agree with Jada. His approach is correct.

Step-by-step explanation: The question requires the student to write an equivalent equation with fewer terms. Nonetheless, this does not prevent applying a mathematically correct approach.

(1) Noah is wrong and the reason is that the initial step is mathematically incorrect. The expression on the right hand side reads 3(4 - 9x), therefore starting with "8 - 3" is very wrong. The right step was to take one side which is 8 and take the other side which is 3(4 - 9x).

(2) Lin is wrong and the reason is that she started inside the parenthesis and this also is mathematically incorrect. The digits inside the parenthesis are "not like terms" and hence calculating 4 - 9x = -5x is very incorrect (the same way you cannot correctly calculate 500 metres minus 200 inches. You must make sure they are both in meters or in inches, that is both must be like terms).

(3) Jada is very correct in using the distributive property and ended up with the only correct solution. The digits on the right hand side of the expression  was solved first and that resulted in -12 + 27x. The reason being that the number outside the parenthesis which is -3, multiplied both digits inside the parenthesis. The minus sign had a major effect, and after simplifying the right hand side the expression now becomes;

8 - 12 + 27x

Since the like terms are 8 and 12, you can simplify further to become

- 4 + 27x OR the expression can be rearranged as 27x - 4

(4) Andre is not correct and the reason is that although he used the distributive property, he made a slight mistake while solving for the right side of the expression. What Andre did was

-3(4 - 9x)

-12 - 27x

Remember that when a negative value multiplies another negative value the answer is positive. Therefore -3 times -9x should have been +27x, just like Jada did as shown above.

From that point onward, his answer would be incorrect.

5 0
3 years ago
Theoretical probability is the probability that an event occurs when all of the outcomes of the experiment are equally likely.
MA_775_DIABLO [31]

1. The probability that we select a red marble is 1/3.

We found this out by taking the amount of red marbles there are and the total amount of marbles. The total amount of marbles is 18 and there are red marbles. So, it would become 6 out of 18 or 6/18. Then, we simplify 6/18 to the simplest form. The greatest common factor of both of those numbers is 6. Lastly, we divide each of them by 6 to get the simplest form.

6/18 = (6/6)/(18/6)

(6/6)/(18/6) = 1/3

So, therefore, the theoretical probability of picking a red marble is 1/3.

2. The probability that we select a blue marble is 2/3.

We can find this out by taking the amount of blue marbles there are and the total amount of marbles. We know that the total amount of marble is 18 and there are 12 blue marbles. So, we simply get the GCF (greatest common factor) and divide them by it.

Greatest Common Factor of 12 and 18 = 6

12/18 = (12/6)/(18/6)

(12/6)/(18/6) = 2/3

Thus, the theoretical probability of picking a blue marble is 2/3.

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3 years ago
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