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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.

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storchak [24]

The goal is to raise AT LEAST $180, so this automatically indicates that the amount of keychains sold with the price must be the same or more than $180.

k = number of keychains

each keychain is $2.25

2.25k ≥ 180

divide both sides by 2.25 to get the k alone

k ≥ 80

The answer is 2.25k ≥ 180, k ≥ 80

(Hope this isn't confusing)


6 0
3 years ago
The measure of central angle xyz is radians. What is the area of the shaded sector? 32 85 96 256.
statuscvo [17]

If the measure of central angle is 3π /4 radians, then the area off the shaded sector is 96π square units

The radius of the circle = 16 units

The central angle of the shaded region = 3π /4 radians

The area of the sector = (θ/ 360) × πr^2

Where θ is the central angle of the sector

r is the radius of the sector

Substitute the values in the equation

The area of the sector = ((3π /4) /360) × π × 16^2

Convert the radians to the degrees

= (135/360) × 256π

Multiply the terms

= 96π square units

Hence, the area of the shaded sector is  96π square units

The complete question is

The measure of central angle XYZ is 3 pie / 4 radians. What is the area of the shaded sector?

Learn more about area of the sector here

brainly.com/question/7512468

#SPJ4

5 0
1 year ago
 If a sphere has a circumference of 138.16 ​in., what is the surface area of the​ sphere?
BigorU [14]
The surface area is 6075.96 in^3
5 0
3 years ago
102 is 126% of what number<br><br> 128.52<br> ≈ 8.10 <br> ≈ 80.95 <br> 12.85
disa [49]

Step-by-step explanation:

102*100=10200

10200÷126=80.95

So the third one is correct

4 0
2 years ago
No link or bot answer the question
sasho [114]

Answer:

c. Rational

because → whole numbers are positive and Starts from 0 so not whole number

Integers can be negative and positive

Examples of numbers that are not integers are: -1.43, 1 3/4, 3.14, . 09, and 5,643.1.

Irrational number that cannot be written in p/q

but -2.4 written in p/q = -24/100

<h3>so c. Rational Number is correct</h3>
3 0
2 years ago
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