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
Montano1993 [528]
3 years ago
7

Line m and point P are shown below. Part A: Using a compass and straightedge, construct line n parallel to line m and passing th

rough point P. Leave all construction marks. Part B: Explain the process that you used to construct line n.

Mathematics
1 answer:
Arturiano [62]3 years ago
5 0

Answer:

  see the attached

Step-by-step explanation:

In the attachment, we will refer to the circles, bottom-to-top, as circles 1, 2 and 3. The black points of intersection, bottom-to-top, will be referred to by the letters A, B, C, D. The transversal line through the white point (W) and pink point (P) will be line q.

Step 1. Draw line q through point P so it intersects line m at some convenient point. Label that point W.

Step 2. Choose an arbitrary radius for your compass. Here, we have chosen it to be the length WB. It happens to be less than half the length of WP, but that is not a requirement.

Step 3. Draw an arc of the chosen radius centered at W and intersecting line q and line m. Label the intersection points A (on line m) and B (on line q). These intersection points are on circle 1.

Step 4. Draw an arc of the same radius centered at P. It should be a long enough arc that it would intersect the proposed line parallel to m. Label the intersection point on line q with label C. This intersection point is on circle 3.

Step 5. Adjust the compass width (radius) to the distance from A to B. This is the radius of circle 2.

Step 6. Draw an arc centered at C so that it intersects the arc of Step 4. This is circle 2, and you want it to intersect circle 3. Label that point of intersection D.

Step 7. Draw line PD parallel to m.

_____

The point of the construction is to create congruent alternate interior angles AWB and CPD, so that lines AW and PD are parallel.

You might be interested in
A car travels at an average speed of 64 miles per hour. How many miles does it travel in 4 hours and 15 minutes?
Burka [1]

15 minutes = 1/4 of an hour = 0.25

64 x 4.25 =272 miles total

8 0
3 years ago
Which equation has the same solution as 10(x) - x + 5 = 41
viva [34]

Step-by-step explanation:

if that is truly the full problem description, then we have

10x - x + 5 = 41

=>

9x = 36

our simply

x = 4

so, I am not sure, what your teacher wants to see as result.

there is an infinite number of equations I could find, all with the solution x = 4.

6 0
3 years ago
If the mean of 4,6,4,7,(x+1),8 and 2 is 5 ,find the median​
Rainbow [258]
<h3>Answer:  Median = 4</h3>

===========================================================

Explanation:

The mean is found by adding up all of the values and dividing by n, where n is the number of values in the set.

In this case, we have n = 7 values here. We count (x+1) as well since x is a placeholder for a number, which makes (x+1) also a placeholder in a sense.

As for what replaces x, we're not sure yet but we can use algebra to solve.

Lets add up all of the values given except for the "5" at the end. That 5 is the mean which is not part of the data set.

Adding up those values mentioned gives:

4+6+4+7+(x+1)+8+2 = x+32

Then divide this over n = 7 to get the mean 5

(x+32)/n = mean

(x+32)/7 = 5

-----------------------------

Let's isolate x

(x+32)/7 = 5

x+32 = 7*5

x+32 = 35

x = 35-32

x = 3

If x = 3, then x+1 = 3+1 = 4

So the (x+1) is being a placeholder for the number 4.

In other words, we'll replace the (x+1) with 4.

The data set of

4,6,4,7,(x+1),8,2

updates to

4,6,4,7,4,8,2

-----------------------------

We'll get to the median in a moment, but first we need to check if we have the correct replacement for (x+1)

Add up the values in the set {4,6,4,7,4,8,2}

Doing so leads to: 4+6+4+7+4+8+2 = 35

Then divide by n = 7 to compute the mean: 35/n = 35/7 = 5

We get the mean is 5 which matches with the instructions. So we have the correct replacement for the (x+1). We can now find the median.

------------------------------

To find the median of any data set, we need to make sure the numbers are in order from smallest to largest.

Right now {4,6,4,7,4,8,2} is not sorted, but we can sort the items to get {2,4,4,4,6,7,8}

The median is at the exact middle. In this set, the median is that third copy of '4'. Note how "2,4,4" is to the left of the median while "6,7,8" is to the right of the median. There is the same number of values on either side of the median to show things are balanced and we are at the center point.

As an alternative, you can cross off each pair of outer values one at a time until you steadily arrive at the midpoint, which again is that third copy of '4'.

So that's why the median is 4.

8 0
3 years ago
I really need help with these questions, 5 STARS AND BRAINLIEST FOR WHOEVER HAS THE BEET ANSWER!!
zvonat [6]
1) y=(7/2)x-2.
Slope is the coefficient of x, that is 7/2

Intercept x is the value of x when y = 0 ==> 0=(7/2) X - 2==> 7/2x=2 &x=4/7
so intercept  x, (4/7,0)

Intercept y is the value of y when x=0 ==> y= (7/2).(0) - 2 ==> y = 2 
and so intercept  y, (0,-2)

Now you will follow the same logic to find the are same questions

2) y= -6x + 3 ==>Slope= -6, Intercept x =1/2 & intercept y=3

3) y=-5 has a slope 0 (it doesn't exist). The graph is a line // to x-axis at y=-5

4)y=(6/5)x + 1:==>Slope= -5/6, Intercept x =-5/6 & intercept y=1

5) y=(1/4)x + 2 ==>Slope= 1/4, Intercept x =-8  & intercept y=2

6) x=5, this ligne is // to y axis at x=-5


 
5 0
3 years ago
Two samples of fish from a pond were analyzed. The second sample was taken six months after the first sample.
Agata [3.3K]

Answer:

B.

D.

E.

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
Other questions:
  • If you start work at 2:45 and worked 2 hours how many hours did you work?
    6·2 answers
  • Relationship between the values of given digits 6s in 6,600
    7·1 answer
  • A parcel delivery company delivered 103,000 packages last year, when its average employment was 84 drivers. This year the firm h
    5·1 answer
  • If R(x) and S(x) are inverse functions, which statement must be true? A) R(S(X))=1 B) R(S(X))=X C) R(X) R(X)= 1/S(x) D) R(x)=-S(
    7·2 answers
  • Helene, a hiker, starts at an elevation of 27 feet above sea level and descends 32 feet during her hike to base camp. Which desc
    9·1 answer
  • If the outliers are not included in the data set below, what is the mean of the data set? (2 points)
    10·1 answer
  • The number $12345678910111213..........979899 consists of all the integers from 1 through 99 written back to back. That's a very
    6·1 answer
  • I need help.. with thissss
    11·1 answer
  • Solve for x and y. *
    12·1 answer
  • If I look in my closet before I go to school, I have 5 pants
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!