Justin is constructing a line through point Q that is perpendicular to line n. He has already constructed the arcs shown. A line n and an arc with center Q is drawn. Center Q lies above the line n. The arc cuts the line on two points A and B. A is left of B. Another arc is made with a center at A. The arc cut the line segment A B near point B. The arc is symmetric to line A B. He places his compass on point B to construct an arc. What must be true about the width of the compass opening when Justin draws the arc?

Answers

Answer 1

I believe that this problem has the following choices:

It must be equal to BQ .
It must be wider than when he constructed the arc centered at point A.
It must be equal to AB .
It must be the same as when he constructed the arc centered at point A.

 

The correct answer is the last one:

It must be the same as when he constructed the arc centered at point A.

 

Answer 2

Answer:

The compass must be the same width as it was when he constructed the arc from point A.

Step-by-step explanation:

In order to construct a perpendicular line to a given line, we need to construct a point above and a point below the line such that the segment through them meets the line at a right angle.

When he constructed the arc from point A, it gave him one piece to creating these points.  An arc from point B, intersecting the arc from point A at two points, will give him the two points he needs.

In order for the arc from point B to intersect the arc from point A, however, the width of the compass must be the same as it was when he constructed the arc from point A.


Related Questions

[11 (y- 10)] = (4y- 5) what is y

Answers

[11(y-10)=(4y-5)

11y-110 = 4y -5
    +110       +110
11y = 4y + 105
-4y   -4y
7y = 105

y= 15

does this equation describe a linear function
Y=2/x-28

Answers

no soulation would be it
it's not a straight line so it's not a function :3

If f(x)=-2(5)^x what is f(2)

Answers

What the question is asking is for you to evaluate the function f at x=2, which means you'll need to substitute the x in the function for 2, giving you:

f(2) = -2(5)²

Show why the function f(x) = 3rad x is not differentiable at x=0

Answers

[tex]f(x) = 3\sqrt{x}[/tex]
[tex]f'(x) = -\frac{3}{2\sqrt{x}}[/tex]

When x = 0, f'(0) becomes undefined. Thus, we know that there is no derivative at x = 0. You could also show it by taking the limits, which is the fundamental of calculus. Show that as x approaches 0 from the negative side is not equal to the value as x approaches 0 from the positive side.

What this tells us is that there is no uniquely distinct point that satisfies the continuity of the curve in order for the graph to have a specific gradient at x = 0; thus, this means there is no gradient at x = 0, and hence, the function is not differentiable at x = 0

At tennis practice, Tim practices his backhand and his serve at least 2 hours each day. He works less on his backhand than his serve and practices his serve more than 1/2 hour daily.
Which system of inequalities represents Tim’s daily tennis practice if x represents the number of hours spent practicing his backhand and y represents the number of hours practicing his serve?
 

The images below are the possible answers,


Answers

He practices his backhand(x) and serve(y) AT LEAST(≥) 2 hours each day
x+y≥2

He practices his backhand(x) LESS THAN(<) his serves(y)
x<y

He practices his serves(y) MORE THAN(>) .5 hours
y>.5

Answer:

[tex]\left\{\begin{matrix}x+y\geq 2\\ x< y\\ y> \frac{1}{2}\end{matrix}\right.[/tex]

Step-by-step explanation:

Let  x represents the number of hours spent practicing his backhand

Let y represents the number of hours practicing his serve.

Since we are given that Tim practices his backhand and his serve at least 2 hours each day i.e. he practices his backhand and serves for two hours or more than two hours

⇒ x+y≥2 --(a)

We are also given that He works less on his backhand than his serve

⇒x < y --(b)

And we are also given that he practices his serve more than 1/2 hour daily.

⇒ y > 1/2 --(c)

Thus the inequalities are :

[tex]\left\{\begin{matrix}x+y\geq 2\\ x< y\\ y> \frac{1}{2}\end{matrix}\right.[/tex]

Thus the Option C is correct .




How would I solve -x^2 = -36?

Answers

Let's solve your equation step-by-step.
-x^2 = -36

Step 1: Divide both sides by -1.
-x^2/-1 = -36/-1
x^2 = 36

Step 2: Take square root.
x=±√36
x=6 or x=−6

Answer: x=6 or x=−6

I hope this helps you! :)


 the answer to your question is x=6

Which of the following characteristics of a parallelogram leads to the conclusion that every square can always be classified as a parallelogram? Select all that apply.

four equal sides
two pair of opposite equal angles
bisecting diagonals
two pair of opposite parallel sides

Answers

The properties of a parallelogram that lead to the conclusion that a square is a type of parallelogram are 2nd, 3rd and 4th options.

Answer:

two pair of opposite equal angles

bisecting diagonals

two pair of opposite parallel sides

After 2 months on a diet, John’s weight dropped from 168 pounds to 147 pounds. By what percent did John’s weight drop?

Answers

Final answer:

John's weight dropped by 12.5%.

Explanation:

To calculate the percent by which John's weight dropped, we need to find the difference between his initial weight and final weight, and then divide that difference by his initial weight. We can then multiply the result by 100 to express it as a percentage.

Initial weight = 168 pounds
Final weight = 147 pounds

Difference = 168 - 147 = 21 pounds

Percent drop = (Difference / Initial weight) x 100

Percent drop = (21 / 168) x 100 = 12.5%

Therefore, John's weight dropped by 12.5%.

Final answer:

To calculate the percent by which John's weight dropped, subtract his final weight from his initial weight, and divide the difference by his initial weight, then multiply by 100. John's weight dropped by 12.5%.

Explanation:

To calculate the percent by which John's weight dropped, you need to find the difference between his initial weight and his final weight, then divide that difference by his initial weight and multiply by 100.

Difference in weight = Final weight - Initial weight = 147 - 168 = -21 Percent weight drop = (Difference in weight / Initial weight) * 100 = (-21 / 168) * 100 = -12.5%

So, John's weight dropped by 12.5%.


Which of the following is more than 0.35 but less than 0.41
A.
8/25
B.
3/10
C.
2/5
D.
9/26

Answers

its B because 3/10ths is a little bit more than 0.35, but way less than 0.41

Answer:

C. [tex]\frac{2}{5}[/tex]

Step-by-step explanation:

Let x be the number which is more than 0.35 but less than 0.41,

⇒ 0.35 < x < 0.41

[tex]\implies \frac{35}{100}< x < \frac{41}{100}[/tex]

[tex]\implies \frac{7}{20} < x < \frac{41}{100}[/tex]

∵ Only [tex]\frac{2}{5}[/tex] is between [tex]\frac{7}{20}[/tex] and [tex]\frac{41}{100}[/tex],

Hence, option C is correct.

Find the missing measures for the rectangle.

l = _?_
w = 2 cm
A = _?_
P = 25 cm

A) 12.5 cm; 25 cm2

B) 10.5 cm; 21 cm2

C) 12.5 cm; 21 cm2

D) 10.5 cm; 25 cm2

Answers

P = 2(L + W)
P = 25
W = 2

25 = 2(L + 2)
25 = 2L + 4
25 - 4 = 2L
21 = 2L
21/2 = L
10.5 = L.......so ur length is 10.5 cm

A = L * W
A = 10.5 * 2
A = 21 cm^2

so ur answer is B. 10.5 cm, and 21 cm^2

What is the value of x?

Answers

the answer would be 35 because you take 120 and add 25 and get 145. then because it can make a straight line you do 180-145 and that equals 35.

If a sports car is traveling at 95 miles per hour, how long would it take the sports car to overtake a family car traveling at 35 miles per hour that left the same starting point 4.5 hours earlier?

Answers

distance = speed * time
d = st

The sports car travels d distance for t time at speed, s, 95 mph until it overtakes the family
car.
The equation for the sports car is
d = 95t

The family car travels the same distance, d, but since it left 4.5 hours earlier  than the sports car, it travels for t + 4.5 time until it is overtaken. It travels at speed, 35 mph.
The equation for the family car is
d = 35(t + 4.5)

We solve the two equations as a system of equations.

d = 95t
d = 35(t + 4.5)

Since d = d, set the right sides of the equations above equal to each other.

95t = 35(t + 4.5)

95t = 35t + 157.5

60t = 157.5

t = 2.625

The answer is 2.625 hours, or 2 hours, 37 minutes, and 30 seconds.

Check:
In 2.625 hours, the sports car travels: 95 mph * 2.625 h = 249.375 miles
The family car traveled 2.625 hours plus the extra 4.5 hours, or 7.125 hours.
In 7.125 hours, the family car travels 35 mph * 7.125 h = 249.375 miles.
The cars have traveled the same distance 2.625 hours after the sports car left, so our answer is correct.

The top of a manhole cover is shaped like a circle. The area of the manhole cover is 380 square inches. What is the circumference of the manhole cover, to the nearest inch? 

Answers

need to find the radius first

 area = pi*r^2

380 = PI *r^2

380/PI = r^2

r^2 = 121

r = sqrt(121) = 11 inches

 radius is 11 inches


 now calculate circumference:

 c = 2*PI*r

 C = 2 * 3.14 * 11

circumference = 69.08 = 69 inches

How do you solve this equation

Answers

Answer:

  -4

Step-by-step explanation:

Use your knowledge of multiplication facts.

  [tex]\sqrt[3]{-64}=\sqrt[3]{(-4)^3}=-4[/tex]

__

Your calculator may be able to do this for you.

At 1 P.M., there were 16 seagulls on the beach. At 3p.m., there were 40 seagulls. What is the constant rate?

Answers

at 1 p.m. there were 16 seagulls....at 3 p.m. there were 40 seagulls....that means in 2 hrs (from 1 to 3) there was an increase of (40 - 16) = 24 birds....
24 birds in 2 hrs = 24/2 = 12 birds per hr....ur constant rate is 12 per hr

Martene got a small aquarium for her birthday. The aquarium is a right rectangular prism 18.5cm long by 15cm wide. Martene put 3885 cm3 ​​ of water in the aquarium. How deep is the water in the aquarium -

Answers

14 cm is your answer
hope it helps

At Chelsea's workplace, 30 people drink 2 cups of coffee a day on average. A pot of coffee has 10 cups of coffee. How many pots of coffee are needed each day?

Answers

6 pots would be the answer. 
30*2=60
1 pot=10
60 divided by 10 = 6

6 pots

6 pots

6 pots

6 pots

write an expression for the quotient of a number and 5 decreased by 4

Answers

q=x/5-4

let me know if you have any questions

Define a new random variable by y = 2px. show that, as p l 0, the mgf of y converges to that of a chi squared random variable with 2r degrees of freedom by showing that

Answers

To show that the moment generating function (mgf) of a random variable y = 2px converges to that of a chi-squared random variable with 2r degrees of freedom as p approaches 0, we need to find the mgf of y using the definition of the mgf and substitute the new random variable. Then, by applying the limit as p approaches 0, we can demonstrate the convergence.

In this question, we are asked to define a new random variable, y = 2px, and show that as p approaches 0, the moment generating function (mgf) of y converges to that of a chi-squared random variable with 2r degrees of freedom.

To show this, we need to find the mgf of y by using the definition of the mgf and substituting the new random variable.

Then, as p approaches 0, we need to simplify the mgf and show that it converges to the mgf of a chi-squared random variable with 2r degrees of freedom.

By applying the limit as p approaches 0, we can demonstrate that the mgf of y converges to the mgf of a chi-squared random variable with 2r degrees of freedom.

5,550 divide 10 to the power of 3

Answers

This would be 5.55

5550÷10^3=5.55

Hope this helps

The solution involves dividing 5,550 by 1,000, which gives 5.55. The expression 10³ represents 1,000, simplifying the division. Therefore, 5,550 divided by 10 to the power of 3 equals 5.55.

To solve the problem 5,550 divided by 10 to the power of 3, follow these steps:

First, understand that 10 to the power of 3 is equivalent to 10³.Calculate 10³: 10 × 10 × 10 = 1,000.  Now, divide 5,550 by 1,000: 5,550 ÷ 1,000 = 5.55.

Therefore, 5,550 ÷ 10³ = 5.55.

The parent function of a graph is f(x) = x2. The graph shifts a units to the left and down b units. Which function models the transformed function?
A) y = x2 - a + b
B) y = (x - a)2 - b
C) y = (x + a)2 - b
D) y = (x - b)2 - a

B was incorrect, whats answer?

Answers

y = (x + a)2 - b is the answer

Please help!! Rewrite the expression as the product of two binomials. What are the two binomials for the expression? x(x-8)-9(x-8)

Answers

that would be (x-9) (x-8)

what is w reduced by 22? f(w)=

Answers

w reduced by 22 means that 22 will be subtracted from every w - value.

So, to every w-value corresponds a value equal to w - 22.

Using the notation of functions, w is the independent variable or input and f(w) is the function that returns the dependent value or output:

inpunt       otuput

w               f(w) = w - 22

Answer: f(w) = w - 22

Billy picked 18 oranges. Taylor picked 3 times as many oranges as Billy did. They want to put them in bags with 9 oranges in each bag.



How many bags will they need for all the oranges?

Answers

18*3 = 54
54/9 = 6

So, they would need 6 bags.
I believe the answer is 6.

How do you construct a line segment perpendicular to the segment given through the point given?

Answers

Use the opposite reciprocal of the slope of the known line segment, then plug the point given as well as the opposite reciprocal of the slope into y = mx + b

WHO IS GOOD AT MATH!!!!! Solve this problem.
326-9²+32= ?

Answers

277; You want to use the order of operations so first, figure out 9 squared which is 81 so you take 326-81+32 , 326-81=245 then 245+32=277

Seth is reading a long novel. if he reads 45 pages per hour, how many hours will it take him to read 585 pages?

Answers

It will take Seth 13 hours to read the novel.
This is true because:
You need to divide 585 by 45, and you get the answer, 13.

5.Thomas walked 1 1/4 miles from his home to his school. Jackson walks 1 2/3 miles from his home to work. How much farther does Jackson walk to school than Thomas?

Answers

Jackson walks 5/12 miles farther than Thomas to work. So, Jackson walks approximately [tex]\( \frac{5}{12} \)[/tex] miles farther than Thomas.

To find out how much farther Jackson walks to work than Thomas, we need to subtract the distance Thomas walks from the distance Jackson walks.

Thomas walks 1 1/4 miles, which is equivalent to 5/4 miles. Jackson walks 1 2/3 miles, which is equivalent to 5/3 miles.

To subtract fractions, we need a common denominator, which in this case is 12. So, 5/3 is equivalent to 20/12, and 5/4 is equivalent to 15/12.

Now, subtracting, we get 20/12 - 15/12 = 5/12 miles.

Therefore, Jackson walks 5/12 miles farther than Thomas.

PLEASE HELP QUICK I'M OFFERING 12PTS AND BRAINLIEST ANSWER
what is the solution set for the open sentence with the given replacement set w^2 + 9 = 6w, (0,3,6,9)

Answers

do you mean solve it 

is 3.774447444744474447444 a rational number

Answers

No it is an irrational number because it is a decimal with repeating numbers.
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