Using only a compass and a straightedge, you are constructing a line perpendicular to AB and passing through a given point, M, on AB. With a
compass of set width, you have drawn arcs that intersect AB on each side of M and marked the two intersection points as P and Q.
The next step in this construction is to place the compass needle on

Answers

Answer 1

P (or Q) and mark an arc roughly where M's reflection across AB is located.

How to use a compass?

One tool for drawing circles is a compass. According to the circle's radius, which is drawn with a compass, the sizes of the circles vary.

A compass's handle is held in place by our thumb and forefinger. A circle is typically drawn using just one hand. Between the forefinger and thumb, the compass is turned.

Around this point, the pencil tip is rotated. The circle's radius is determined by the distance between the pencil tip and the compass needle. A ruler is used to set it. The gap can be adjusted by adjusting the angle between the compass's arms.

At that point of reflection (M'), arcs drawn from P and Q in M's approximate location across AB will intersect. As desired, the line passing through point M and perpendicular to AB will connect M and M'.

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Related Questions

True or false: The numerical coefficient of 14xy4z5 is 4.

Answers

Answer:

False

Step-by-step explanation:

The numerical coefficient is 14, not 4.

Answer:

it's False

Step-by-step explanation:

Trust me IT worth it

Which equation represents the line parallel to the line whose equation is 2y=4x+14

Answers

The parallel line has an equation of y = 2x + 3

How to determine the line equation?

The equation is given as

2y = 4x + 14

Make y the subject

2y = 4x + 14

Divide through by 2

y = 2x + 7

The equation of a line can be represented as

y = mx + c

Where

slope = m

By comparing the equations, we have:

m = 2

This means that the slope of 2y = 4x + 14 is 2

The slopes of parallel lines are equal

This means that the slope of the other line is 2

i.e. m = 2

Recall that:

The equation of a line can be represented as

y = mx + c

Where

slope = m

So, we have

y = 2x + c

Assume any value for c

This gives

y = 2x + 3

Hence, the equation of the parallel line is y = 2x + 3

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I need help with this, I "apparently get it wrong"

Answers

The top left picture adds up to 14

Answer:

Step-by-step explanation:

Which one adds up to 14 is the question?  There are dots on the dice which correspond to numbers. The dots are saying that they are numbers. And if you get to 14 with the dices, you pick it.


A dog kennel charges $40 for each night the dog stays in the kennel. Each day includes a 2 hour play time and
1 hour etiquette training. The kennel also charges a $10 bathing fee for a bath before the dog returns home.
Think of the linear function that demonstrates the cost of putting a dog in the kennel (c) in terms of the number
of nights (n)

Answers

Answer:

c=40n+10

Step-by-step explanation:

They charge 40$ per night from which we get 40n

The extra 10$ is from the bathing fee

The rest of the information they give us isn't useful in this case because they didn't ask us the cost per hour

4(y-4)=8
ANSWER WITH EXPLINATION PLEASE

Answers

Answer:

y=6

Step-by-step explanation:

4(y-4)=8

4×y-16=8

4×y=8+16

4×y=24

y=6

4(6-4)=8

4×2=8

In the space provided below, solve the equation 4x² 768 = 0 for x algebraically. Write your answer in simplest radical form. Show all work. ​

Answers

Answer:

Step-by-step explanation:-b± √b²-4ac. X =

the sat math scores of 1,000 future engineers and physicists are recorded. what will be the relationship between the mean and median of the collected data? think about if you would expect the distribution of sat math scores to be a normal distribution, skewed right distribution, or skewed left distribution.

Answers

The relationship between the mean and median of the collected data is that the mean will be smaller than the median.

Since the SAT Math scores for these students will be mostly high scores, the distribution will be skewed to the left. Thus, the few low scores (outliers) will make the mean smaller than the median.

Outliers that do not change the mean have an impact just on the mean. As a result, the mean is frequently lower than that of the median when the distribution of data is skewed to the left. The mean is frequently higher than the median when the distribution is tilted toward the right. We anticipate that the mean and median in symmetrical distribution will be about identical in value. This is a crucial link between the connection here between mean and median as well as the distribution's form. Nevertheless, it isn't applicable to all sets of data. Collections of data sets are where exceptions happen much more frequently.

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Doughnuts are sold in bags and cartons.
A bag holds 4 doughnuts and a carton holds 10 doughnu*
Tom buys B
bags of doughnuts and C cartons of doughnuts.
He buys a total of T doughnuts.
Write down a formula for T in
terms of B and C.

Answers

Answer:

Step-by-step explanation:

Answer:

b= c + t (the amount bought)

Step-by-step explanation:

Sketch and Solve. A rectangular page is 2 inches longer than it is wide. If the diagonal of the pag is 52 inches, what is the perimeter of the page

Answers

The Perimeter of the Rectangle is 144cm;

What is the Perimeter of a Rectangle?

The sum of a rectangle's boundary lengths on all sides is known as its perimeter. A rectangle's perimeter is a linear measurement that can be expressed in meters, feet, inches, or yards. Let's first comprehend the two fundamental characteristics of a rectangle.

A rectangle has four 90° angles.

The lengths of a rectangle's diagonals are equal. Rectangle perimeter is calculated using the formula perimeter of a rectangle = 2(l + w), where l is the rectangle's length and w is its width.

According to the question

Let the length of the rectangle be x cm;

So, The breadth of the rectangle will be:  (x+2) cm;

And, we have the diagonal = 52 cm;

So,

we can use the Pythagoras triangle to find the value of x cm;

⇒[tex]x^{2} + (x+2)^{2} = (52)^{2}[/tex]

⇒[tex]2x^{2} +4+4x = 2704;\\[/tex]

⇒[tex]2x^{2} +4x = 2700[/tex]

⇒[tex]2x^{2} +4x - 2700 =0;[/tex]

By solving the above equation, we get:

x = 35 cm;

So, the length of the rectangle = is 35 cm;

Breadth of the rectangle = 37 cm;

and
Perimeter of the Rectangle = 2(35 + 37) cm;

The perimeter of the Rectangle = = 144 cm;

Hence,

The perimeter of the Rectangle = = 144 cm;

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Algbra 2 help please asap

Answers

Answer:

3√10 units

Step-by-step explanation:

[tex] \sqrt{250} = \sqrt{25 \times 10} = \sqrt{25} \sqrt{10} = 5 \sqrt{10} [/tex]

[tex]3x + 2x = 5 \sqrt{10} [/tex]

[tex]5x = 5 \sqrt{10} [/tex]

[tex]x = \sqrt{10} [/tex]

So the length of the longer piece is 3√10 units.

I need help please!!

Answers

Answer:

-5/3 or -1.67

Step-by-step explanation:

Answer:

-5/3

Step-by-step explanation:

Oh it's you again, I am just gonna copy paste my format from your previous question.

Use the slope formula: s=(y2-y1)/(x2-x1)

It doesn't matter the order.

Let's say -6 is x2 and 8 is y2; 3 is x1 and -7 is y1

Plug in the equation: s=[(8)-(-7)]/[(-6)-(3)]

Simplify and solve: s=[8+7]/[-9]

                               s = -15/9

                               s = -5/3

Tony planned to spend $100 for food this week. On Monday he spent $22 and on Thursday he spent $52. How much money dose he have left for the week

Answers

Answer:$26

Step-by-step explanation:

52+22=74

100-74=26

Tony has 26 dollars left.

b to the power of −6 times b to the power of 11

Answers

Answer: B^5

Step-by-step explanation: truss

Two trains are traveling at constant speeds on different tracks. Trains Train A is traveling 12.5 meters per second. What speed is Train B traveling? meters per second.

Answers

Train B is traveling faster because it traveled 100 meters in four seconds.

What is Average speed?

Average speed is defined as the ratio of the total distance traveled by a body to the total time taken for the body to reach its destination.

We have to determine which train is moving faster based on the image.

We can tell by looking at the train speeds.

As per the formula,

distance/time = speed

Train A travels 12.5 metres in one second = 12.5/1 = 12.5 metres per second

Train B travels 100 meters in four seconds, hence its speed is 100/4 = 25 meters per second.

This is because it traveled 100 meters in four seconds, whereas train A covered 12.5 meters in one second.

Hence, train B is traveling faster.

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The question seems to be incomplete the correct question has been in attached file

Distribute and then Combine Like Terms: 5(3x + 4) + 7x

Answers

Answer:

22x + 20

Step-by-step explanation:

Distribute:

= (5)(3x) + (5)(4) + 7x

= 15x + 20 + 7x

Combine Like Terms:

= 15x + 20 + 7x

= (15x + 7x) + (20)

= 22x + 20

Answer:

22x +20

Step-by-step explanation:

5(3x + 4) + 7x

5 x 3x + 5 x 4 +7x

15x + 5 x 4 + 7x

15x + 20 + 7x

22x + 20

How is p-value calculated with example?

Answers

To calculate the p-value, we have to follow the following steps:

First, identify the correct test statistic.Then, calculate the test statistic using the relevant properties of the sample.Specify the characteristics of the test statistic’s sampling distribution.Then, place test statistics in the sampling distribution to find the p-value.

To calculate the p-value, we need

p = sample proportion

p' = assumed population proportion in the null hypothesis

n = sample size

Example

Given, n =40, σ = 32.17 and X = 105.37. calculate p-value.

σₓ = σ/ √n

σₓ = 32.17 / √40

    = 5.0865

Now, by applying the test static formula, we get

t = (105.37 – 120) / 5.0865

t = -2.8762

Using the table, we find the value of P(t>-2.8762)

From the table, we get

P (t<-2.8762) = P(t>2.8762) = 0.003

If P(t>-2.8762) = 1- 0.003 = 0.997

P- value = 0.997 > 0.05

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suppose that among the 6000 students at a high school, 1500 are taking honors courses and 1800 prefer watching basketball to watching football. if taking honors courses and preferring basketball are independent, how many students are taking both honors courses and prefer basketball to football?

Answers

Students taking both honors courses and prefer basketball to football is 450.

Total number of students at a high school = 6000

Number of students who has taken honors courses = 1500

Number of students who prefer watching basketball to football = 1800

Let event of taking honors courses be A

and event of preferring watching basketball be B

P(A) = 1500 / 6000 = 0.25

P(B) = 1800 / 6000 = 0.3

If both the event of taking honors courses and preferring watching basketball is independent then

By using property of independent events ,

P(A∩B) = P(A) . P(B)

= (0.25)(0.3) = 0.075

Number of students taking both honors courses and prefer basketball to football = 0.075 × 6000

= 450 Students

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What is the maximum or minimum value of the function what is the range y=-2x^2+32x-12.

Answers

The maximum or minimum value of the function y = -2x² + 32x - 12 is (8, 116) and the range of the function y = -2x² + 32x - 12 lies in the interval

(−∞ ,116).

Given, the function is y = -2x2 + 32x - 12

According to the question we have to extract the maximum or minimum value of the function.

The maximum or minimum of a function which is a quadractic function occurs at the point x = -b/2a.

If a is negative, then the maximum value of the function is f(-b/2a).

If a is positive, then the minimum value of the function is f(-b/2a).

According to this, we can derive the general equation as

fmax(x) =ax²+bx+c occurs at x = -b/2a.

From the given equation, comparing we get

a = -2, b = 32, c = -12

Substitute the value of a and b in in the general equation and we get

x = -32/2(-2)

x = -32/-4

x = 8

Put x = 8 in the given general equation,

y = -2(8)² + 32(8) - 12

y = -2(64) + 256 - 12

y = -128 + 256 - 12

y = 256 - 140

y = 116

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The volume of this prism is 378 cm*.
What is the length of x?
27 cm*

Answers

Answer:14

Step-by-step explanation:All you have to do is Divide 378 by 27 to get x

Hope This Helps!

Francesca has 2615 comic books.
She wants to put them into groups of 8.
How many comic books would be left over
after putting them into groups?

Answers

Answer: 7 comic books would be left after putting them into groups of 8.

Step-by-step explanation: There will be 326 groups of comic books. 326 x 8 = 2,608 which means that there will be 7 comic books left after putting them all into groups of 8.

f(x) = x
f(x) = 3
f(x) = 5-x
f(x) = 3-x
Domain
x=2
2 0≤x<2
3 f(x) = 1
f(x) = 2
Function Equation

Answers

Given f(x)=2−∣x−5∣

Domain of f(x) is defined for all real values of x.

Since, ∣x−5∣≥0⟹−∣x−5∣≤0

⟹2−∣x−5∣≤2⟹f(x)≤2

Hence, range of f(x) is (−∞,2].

(-5,6)
(-3,3)
(-1,0)
(1,-3)
(3,-6)

Find the range of the relation.

(-6, -3, 0, 3, 6)
(-5, -3, -1, 1, 3)
(-6, -5, -3, -1, 0, 3, 6}
(-6,6)

Answers

The range of the given relation is (-6, -3, 0, 3, 6).

Range:

Basically the set contains 2 elements in it, in which set contains all the second elements, on the other hand, is known as the range of the relation.

Given,

Here we have the relation (-5,6), (-3,3), (-1,0), (1,-3) and (3,-6)

Here we need to find the range of the relation.

According to the definition of the relation,

Range refers the y values of the coordinates,

So, based on this the value of the given coordinates are extracted as,

(-5, 6) => 6

(-3, 3) => 3

(-1, 0) => 0

(1, -3) => -3

(3, -6) => -6

Now we have arrange the range values from the smallest to largest,

Therefore, the range of the relation is (-6, -3, 0, 3, 6).

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A company claims that the mean weight per apple they ship is 120 grams with a standard deviation of 12 grams. Data generated from a sample of 49 apples randomly selected from a shipment indicated a mean weight of 122. 5 grams per apple. Calculate and interpret a 95% confidence interval for the mean weight per apple.

Answers

The average apple weight's 95% confidence interval is (119.14, 125.86).

According to one manufacturer, an apple weighs 120 grams on average with a 12-gram standard variation. According to statistics generated from a sample of 49 apples randomly selected from a shipment, the average weight per apple was 122. 5 grams.

Let, 

n = 49

x = 122.5 

σ = 12

To figure up and analyze a 95% confidence interval for the average apple weight; 

The formula for a 95% confidence interval is

(x ± 1.96*σ√n) 

(122.5 ± 1.96*12/√49)

(119.14, 125.86)

Consequently, a 95% confidence interval for the average apple weight is (119.14, 125.86).

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How do I solve this Quadratic expression by factoring?

Answers

Answer:

Step-by-step explanation:

Step-by-step explanation:

the highest exponent is 2, so, we expect to get 2 factors in x (as the multiplication of x×x = x²).

3 is a prime number, and the only factors to get 3 are 3 and 1

3 = 3×1

so, we expect to get factors that look like

(3x + a)(x + b)

when we do the multiplication, we get

3x² + 3bx + ax + ab = 3x² +(3b + a)x + ab

now we compare this to our original expression

3x² +(3b + a)x + ab = 3x² - 13x + 12

3b + a = -13

ab = 12

so, we know a and b must both be negative

(-×- = +, - - - = -).

the negative factors of 12 are

-12 × -1

-6 × -2

-4 × -3

which one of these pairs can make

3b + a = -13

be true ?

3×-12 + -1 = -37 no

3×-1 + -12 = -15 no

3×-6 + -2 = -20 no

3×-2 + -6 = -12 no

3×-4 + -3 = -15 no

3×-3 + -4 = -13 yes

so, our factors are

(3x - 4)(x - 3)

(1 point) college officials want to estimate the percentage of students who carry a gun, knife, or other such weapon. how many randomly selected student

Answers

Probability Theory

P (K) =[tex]\frac{n (K) }{n (S)}[/tex]

P(K) : probability of selected K

n (K) : number of occurence of K

n (S) : number of all occurence

In question is not contain information about the number of students who curry a gun, knife, or other weapon and the number of all students. so, we can desribe that :

n (A) : the number of occurence of students who curry a gun

n (B) : the number of occurence of students who curry a knife

n (C) : the number of occurence of students who curry other weapon

and the number of all students is n ( A U B U C) -> union of sets

how many randomly selected student? in question, there is no specific about the student. so, we can answer with :

1) probability of students who curry a gun

P (A) = [tex]\frac{n (A) }{n (AUBUC)}[/tex]

2) probability of students who curry a knife

P (B) = [tex]\frac{n (B) }{n (AUBUC)}[/tex]

3) probability of students who curry other weapon

P (C) = [tex]\frac{n (C) }{n (AUBUC)}[/tex]

and if question want to estimate with percentage, we can multiply with 100%. example :

1) percentage of probability of students who curry a gun

P (A) = [tex]\frac{n (A) }{n (AUBUC)}[/tex] x 100%

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I need help please!!!

Answers

The slope of the line that passes through (9, 1) and (-8, 2) is -1/17

How to find the slope?

If we have a linear equation or a segment that passes through two points (x₁, y₁) and (x₂, y₂), then the slope is given by the formula:

slope = (y₂ - y₁)/(x₂ - x₁)

In this case, we know that the two points are (9, 1) and (-8, 2), using the above formula we can find the slope to be:

slope = (2 - 1)/(-8 - 9)

slope = 1/-17 = -1/17

That is the slope of the line or segment that passes through the given points.

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Savio leaves his home 9.00 to drive to a work appointment. He drives a distance of 40miles.
Savio thinks he drives at an average speed of 60 miles per hour.
If Savio is correct what time will he arrive at his appointment

Answers

Answer:

9:40

Step-by-step explanation:

Distance = rate x time

Let t = time

40 = 60t  Divide both sides by 60

[tex]\frac{40}{60}[/tex] = t  An hour would be 60 minutes so the number of minutes out of the total would be 40.

Justin wants to find the volume of a rectangular box. He starts by placing a layer of cubes in the bottom of the box (as shown).

Each cube has a length, width, and height of `1/2` inches. He continues placing cubes in the box until it is full. What is the volume of the box?

Answers

The volume of the given rectangular box is given by 225 cubic inches.

We know that the volume of the rectangular box with length L and width W and height H is given by,

V = LWH

So given the length of rectangular box is = 12 1/2 inches = 25/2 inches

The width of rectangular box is = 4 1/2 inches = 9/2 inches

The height of box is = 4 inches

So the volume of the rectangular box = (25/2)*(9/2)*4 = 25*9 = 225 cubic inches.

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Find two positive integers whose sum is 16 and the sum of squares is minimum.

Answers

x = 8 and y = 8 are the two positive numbers whose sum is 16 and the sum of the squares is minimum.

According to the question,

The two numbers are positive and the sum of the two numbers is 16 and the sum of the squares of the two numbers is the minimum.

Now to solve the question we will consider,

x and y are the two numbers, such that x > 0 and y > 0

Sum of the numbers : x + y = 16

Sum of squares of the numbers: S = x²+ y²

x + y = 16 y = (16 - x)

Assume, S = x² + y²

S = x² + (16 - x)²

Now we will differentiate with respect to x

dS/dx = 2x+ 2(16-x)(-1)

2x-2(16-x)=0

2x-32+2x=0

4x-32=0

4x=32

x=32/4

x=8

As x > 0, x = 8

d²S/dx² = d/dx [2x+ 2(16-x)(-1)]

d²S/dx² = d/dx (2x) - 2 d/dx (16-x)

d²S/dx² = 2 - 2[0-1]

d²S/dx² = 4

Now when x=8

d²S/dx²  = 4 ≥0

Therefore, the function S = sum of the squares of the two numbers is minimum at x = 8.

y = 16-8 = 8

Therefore, x = 8 and y = 8 are the two positive numbers whose sum is 16 and the sum of the squares is minimum.

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Janet buys 4 bags of potatoes.

The first bag has 8 potatoes in it.
The second bag has 6 potatoes in it.
The third bag has 10 potatoes in it.
She has not yet counted the number of potatoes in the fourth bag.
To represent the total number of potatoes she has, Janet writes (8+6+10)
+x, where x is the number of potatoes in the fourth bag. Which expression
also represents the total number of potatoes Janet has?
2(4+3+5+x)
O 25+1+B)4x
O (8+6)(10+x)
O (8+6)+(10+x)

Answers

Answer:

(8+6)+(10+x)

Step-by-step explanation:

2(4+3+5+x)  Not valid since x represents the total number of potatoes in the fourth bag.  The expression expands to (8+6+10 + 2x), not just x.25+1+B)4x   Not valid as written, the expression has a new, undefined variable, B.  Plus the 25+1 are not related to the actual inforamation.  (8+6)(10+x)  Not valid since there is no logic in multiplying the two expressions.(8+6)+(10+x)  Valid:  The expression can also be writte as 8+6+10+x, which matches the potatoe count in the four bags.
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If the president, vice president, and leaders of congress were all unable to hold office, who would assume the office of president?. 1.5 devided by 2.5 rounded to the nearest tenth Sanjay's class was studying the water cycle. Their teacher asked them: "Where in the room will the most evaporation take place?" In small groups the children collected the following materials: ~zip lock bag ~soil ~water in a spray bottle ~tape Each group added soil to fill the bottom 1/4 of the bag. Next they sprayed the soil with water. They sealed the bags and taped them in a sunny window. The next day, at 11:00 am, the students checked their bags. Here is a photograph of one of the bags; the student models all looked similar. Is this a fair test? Explain. A) No. The students did know if any evaporation took place. B) Yes. All of the students followed the same steps when setting up their model. C) No. The students should tape bags in different places to get different temperatures. D) Yes. The students could see that the water in the soil evaporated and then condensed on the bag. which selection best explains how hitler was able to take over the western europe ? Judy has been suffering from depression for several years. Medication worked at first, but it has not been effective for the last two years, even though judy has tried several different drugs. Judy is willing to try a different type of biological treatment, but she does not want any part of her brain physically altered. What treatment might her psychiatrist recommend?. A family has two cars. The first car has a fuel efficiency of 40 miles per gallon of gas and the second has a fuel efficiency of 20 miles per gallon of gas. During one particular week, the two cars went a combined total of 1700 miles, for a total gas consumption of 55 gallons. How many gallons were consumed by each of the two cars that week? Christine knits 22 centimeters of scarf each night. Write an equation that shows the relationship between the nights xx and the length knitted y. What is the name given to the process by which a parent cell becomes two identical daughter cells?. Why were the Caribbean islands not as united as the mainland colonies you are purchasing a used car and will make 5 annual payments of $3,500 starting one year from today. if your funds could be invested at 9%, what is the present value of the care? (round answer to nearest dollar) $20,946 $13,614 $14,839 $17,500 When a commercial bank receives a deposit, it must keep part of the deposit as cash reserves to satisfy itsA) securities and loans.B) required reserves.C) excess reserves.D) interbank loans.E) loan requirements. A person demonstrates ________ when he or she thinks imaginatively, solves problems, visualizes situations, learns new information, and thinks logically. 3 9 8 hours. the tap of larger diameter takes 10 hours less than the smaller one to fill the tank separately. find the time in which each tap can separately fill the tank Think aboutA model of a house was built using the scale 5 in:25 ft. If a window in themodel is 1.5 in. wide, how wide is the actual window? If AL = 27, find AP and PL. 4. How are cell membranes best described? (READ choices carefully!)a double layer of phospholipid molecules with hydrophobic tails directed towards the cytoplasm of the cella single layer of phospholipid molecules with water molecules attached along one sidea double layer of phospholipid molecules with hydrophilic heads directed towards each other.A double layer of phospholipid molecules with hydrophobic tails oriented towards each other. New friends? Also points!!! Which factors make sequencing by the sanger chain-termination method possible? select all that apply. Spinner has 10 equally sized sections, one of which is blue and nine of which are yellow. The spinner is spun and, at the same time, a fair coin is tossed. What is the probability that the spinner lands on yellow and the coin toss is tails? Question 9 of 10Governments can cause the supply of a good to decrease by:OA. funding training related to making the good.B. investing in new technology to produce the good.C. reducing the taxes paid to make the good.D. adding expensive regulations on the good.SUBI