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ivann1987 [24]
3 years ago
7

Jay is copying an angle. His work so far is shown below. Explain the importance of his next step, which is placing the point of

the compass on L, opening the compass to N, and drawing an arc.
A. This ensures that when he draws another arc for angle Y, that it will be the right distance from point Z. <-- MY ANSWER


B. This arc is to make sure that both L and N are equidistant from M.


C. This arc makes sure that the distance from L to N is the same as the distance from Y to Z.


D. This way there will be two arcs drawn on both angles when he is done.

Mathematics
1 answer:
FinnZ [79.3K]3 years ago
6 0

Answer:

  your answer is correct.

Step-by-step explanation:

For the purpose here, we'll call the missing point on the arc through Z point X.

Essentially, you want to make ΔXYZ ≅ ΔLMN by SSS. The construction so far ensures LM ≅ MN ≅ XY ≅ YZ. By copying the length LN to XZ, you ensure the congruence of the remaining sides of the triangles.

Then ∠XYZ ≅ ∠LMN because corresponding parts of congruent triangles are congruent.

In short, XZ needs to be the same distance as LN.

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Find an equation for the line that passes through the points (-4, -1) and (6, 3)
skad [1K]

Answer:

y=2/5x+3/5

Step-by-step explanation:

Use the slope formula to get the slope:

m=4/10

m=2/5

The y intercept is 3/5

The equation is y=2/5x+3/5

3 0
3 years ago
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What is the solution of the equation 3x + 5 + 2x - 12
ss7ja [257]

Answer:

7/5

Step-by-step explanation:

3x + 5 + 2x - 12 = 0

5x - 7 = 0

5x = 7

x = 7/5

5 0
2 years ago
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How many x -intercepts does the parabola whose function is f(x)=3 x 2 +4x+4
artcher [175]

Answer:

They are none x- intercepts on the parabola. To find the x-intercept, substitute in 0 for y and solve for x.

3 0
3 years ago
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Suppose you roll a regular 6-faced die. What is the probability of rolling: a 6?, a 2?, and a 4?
Andreyy89

3/6 because there are 6 sides and there are 3 numbers that you want to roll. They are even numbers so if you want to roll half of the numbers but not the other half well you have 3/6

6 0
3 years ago
It is assumed that the test results for a class follow a normal distribution with a mean of 78 and a standard deviation of 36. I
HACTEHA [7]

Answer:

0.7143

- You know the minimum possible grade of the student

- You want to find out the probability that that grade which is greater than 72 is also greater than 84

- Expect the answer to be 0.7143

- The explanation/steps is given below

- The answer seems (and is) reasonable. You only created a new lower limit.

Step-by-step explanation:

Distribution Type: Normal

Mean: 78

Standard deviation: 36

Range of marks: [78 - 36], [78 + 36]  = [42 to 114]

If you know that a student's grade is greater than 72, what is the probability that it's greater than 84?

In this case, the full probability level is between 72 and the upper limit of 114 (instead of between 42 and 114). First, find the fraction of this probability.

[114 - 72] ÷ [114 - 42]  = 42/72  = 0.5833

So, the probability of a student's mark falling between 72 and 114 is 0.5833.

Now making this a whole interval, 114 - 72 = 42

What fraction of this interval of 42 will bear marks between 84 and 114?

[114 - 84]  = 30

30/42  = 0.7143

Because of the first part of the question "If you know (are sure) that a student's grade is greater than 72...", your answer stops at 0.7143, since 72 was used as the lower limit.

8 0
2 years ago
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