What is being constructed based on the markings in the following diagram?

Line AB with two points C and D on each side of the line; a circle is created with center C passing through point D, and the intersection of circle C with line AB creates points E and F such that point A is between points E and F and point F is between points A and B. Point G is not located on line AB and is on the same side as point D. A circle is created with center F and a radius of FG, and another circle is created with the same radius from point E. Points H and I are intersecting points of circles E and F, and a line is drawn through points H and I.

Inscribed regular hexagon
Inscribed equilateral triangle
Perpendicular line through a point off a line
Perpendicular line through a point on a line

Answers

Answer 1

Answer:

The correct option is;

Perpendicular line through a point off a line

Step-by-step explanation:

Based on the markings in the diagram, we have;

Marking points E and F along AB extended forms two points equidistant from the point C on the line AB

Construction of the line HI by using equal arc lengths from E and F creates two points equidistant from E and F on either side of the line AB such that HI passes through C forming a perpendicular bisector from C to AB.

Therefore, a perpendicular line has been constructed from the point C off the line AB to the line AB

Hence the correct option is the construction of a perpendicular line through a point off a line.


Related Questions

The cereal box shown below is a rectangular prism. Find the surface area of the cereal box.

Answers

Answer:

Surface area is found:

Surface Area = 1700 cm²

Step-by-step explanation:

(The cereal box is shown in the ATTACHMENT)

The surface area of a rectangular prism can be found by added the areas of all 6 sides of the rectangular prism.

L = length = 20 cm

H = height = 30 cm

W = Width = 5 cm

Side 1:

A(1) = L×H

A(1) = 20×30

A(1) = 600 cm²

Side 2:

As the measurements of the side at the back of side 1 has the same measurement of side 1. then:

A(2) = 600 cm²

Side 3:

A(3) = L×W

A(3) = 20×5

A(3) = 100 cm²

Side 4:

As the measurements of the side at the back of side 4 has the same measurement of side 4. then:

A(4) = 100 cm²

Side 5:

A(5) = H×W

A(5) = 30×5

A(5) = 150 cm²

Side 6:

As the measurements of the side at the back of side 5 has the same measurement of side 5. then:

A(6) = 150 cm²

Surface Area:

Adding areas of all the sides

A(1) + A(2) + A(3) +A(4) + A(5) + A(6) = 600 + 600 + 100 +100 + 150 +150

Surface Area = 1700 cm²

Answer:

580

Step-by-step explanation:

Area of a rectangle = length x width

3x20=60

2x60=120

The bottom and the top are both 3 by 10 rectangles

120+60+400=580

580

Thomas has 4 blocks colored blue, red ,green and yellow. How many different ways can he combine them on a shelf?

Answers

64 different possibilities are there

Select true or false for each statement

Answers

TRUE

FALSE

FALSE

FALSE

FALSE

The coordinates of which point are (–3, –6)? On a coordinate plane, point A is (negative 3, 6), point B is (negative 6, negative 3), point C is (negative 3, negative 6), and point D is (3, negative 6). point A point B point C point D

Answers

Answer:

Point c

Step-by-step explanation:

Answer:

The answer is Point C

Step-by-step explanation:

\frac{h^{2}-1 }{h+3} when h=5

Answers

Answer:

The answer is 3.

Step-by-step explanation:

You have to substitute h = 5 into the fraction :

[tex] \frac{ {h}^{2} - 1}{h + 3} [/tex]

Let h = 5,

[tex] = \frac{ {5}^{2} - 1}{5 + 3} [/tex]

[tex] = \frac{25 - 1}{8} [/tex]

[tex] = \frac{24}{8} [/tex]

[tex] = 3[/tex]

Answer:

Step-by-step explanation:

[tex]\frac{h^2-1}{h+3 } \\when~h=5\\\frac{5^2-1}{5-1} =\frac{24}{4} =6[/tex]

distance from zero on a number line represents the of the number

A: slope

B: opposite

C: reciprocal

D: absolute value

Answers

Answer:

D

Step-by-step explanation:

Answer:

the absolute value of the number

Step-by-step explanation:

for example if the absolute value of 3 is 3 because the distance of 3 from zero on the number line is 3 places to the right.

cos(3x) = 1

1. Using an appropriate inverse trigonometric expression, write an equation that defines the value of 3x

2. Solve this equation to find all possible values of the angle 3x

3. Use algebra to find all values of x between 0 and 2pi that satisfy this equation

Answers

Step-by-step explanation:

cos(3x) = 1

3x = 0 + 2kπ

x = 0 + 2kπ/3

x = 0, 2π/3, 4π/3, 2π

what is the answer to (2×+9)​

Answers

So the right answer is 18

Please see the attached picture for full solution

Hope it helps

Good luck on your assignment

Answer:

11x

Step-by-step explanation:

1). Rewrite the problem:

2x (+9)

2. Multiply

9 x 2 = 18

3). answer: 18

hope this helped!

In training for the zombie race, Harris runs 4 times back and forth across the pasture, then runs through the woods 3.75 miles. In all, Harris runs 15.7 miles. What is the distance from one side of the pasture to the other?

Answers

Answer:

2.9875 miles

Step-by-step explanation:

15.7 - 3.75 = 11.95. 11.95 / 4 = 2.9875 miles.

which of the following is the front view for the model (picture shown below)

Answers

Answer:

The second one.

Answer:

B

Step-by-step explanation:

B is the correct answer as the blocks are arranged in the same manner as B

Please help me answer this question

Answers

The first one. 1017.4m^3

Need help written responses???

Answers

Answer:

47.5% of students fall within heights of 100 cm to 120 cm

Step-by-step explanation:

We are given that heights of Grade 1 students are normally distributed

Mean = [tex]\mu = 100 cm[/tex]

Standard deviation = [tex]\sigma = 10 cm[/tex]

a)

Empirical rule

68% of data lies within the first standard deviation from the mean i.e[tex].(\mu-\sigma , \mu+\sigma)=(100-10,100+10)=(90,110)[/tex]

95% of all the data will fall within two standard deviations  i.e.[tex](\mu-2\sigma , \mu+2\sigma)=(100-2(10),100+2(10))=(80,120)[/tex]

99.7% of data lies within the three standard deviations i.e.[tex]( \mu - 3 \sigma , \mu +3 \sigma)=(100-3(10),100+3(10))=(70,130)[/tex]

b)Percentage of students fall within heights of 100 cm to 120 cm

Using the normal distribution curve

Percentage of students fall within heights of 100 cm to 120 cm = [tex]\frac{1}{2} \times 95\% = 47.5\%[/tex]

Hence 47.5% of students fall within heights of 100 cm to 120 cm

PLEASE HELP WILL GIVE BRAINLIEST AND 20 POINTS

add these fractions and select the simplified answer

m+n/6mn + m-n/2mn
or
[tex]\frac{m+n}{6mn} + \frac{m-n}{2mn}[/tex]

Answers

Answer:

2m-n / 3mn

Step-by-step explanation:

combine the fractions by finding a common denominator
3(m-n) (m+n) / 6mn= (m-n)(m+n)/2mn

C)
What is the surface area of this design?
6 in.
76 in2
280 in2
4 in.
392 in2
10 in.
4 in.
360 in2
6 in.

Answers

Answer:=783

Step-by-step explanation:

Two students are asked to go to the board to work

Answers

Answer:

Give us a actual equation mate

Step-by-step explanation:

please help! ill mark you as brainleist if you get it correct!​

Answers

Answer:

7

Step-by-step explanation:

every o e move you make on x you make 7 on y. (made 2 moves in x and moved 14 on y) so if you moved 21 on y.... 21/7=3 so you move 3 on x so 4+3=7

Skylar Sutherland earns a salary of $80,000 per year. How much is Skylar paid per month? *

Answers

Answer:

6,666$

Step-by-step explanation:

Because there are 12 months in a year u just have to divide 80,000 by 12.

Got chu :)

What is the value of s? I'll mark first correct answer brainliest.

Answers

Answer:

s = 11.

Step-by-step explanation:

To find the value of 's', we can first use the Supplementary Angles theorem. If '12s' is the measure of the angle outside of the triangle, the angle inside the triangle must be equivalent to '180-12s'.

Since the sum of all of the angles of the triangle must be 180°, we can set up an equation to solve for 's':

180 = 45 + 10s - 23 + 180 - 12s (Subtract both sides by 180)

Simplify:

0= 45 + 10s - 23 - 12s (Subtract both sides by 45, and add 23 to both)

-22 = 10s - 12s

-22 = -2s (Divide both sides by -2)

s = 11.

what is the difference between the greatest and least amount of juice? could you please tell me how to do it

Answers

Answer:

More juice.

Step-by-step explanation:

The difference between the greatest and least amount of juice is that there is more juice in one cup. If this is not the answer you were looking for, please let me know, and I am sorry for the inconvienience.

The sum of mZAOB and mZBOC is 218º. Find the measure of ZBOC.

Answers

Answer: 131

Step-by-step explanation:

218 - 87 = 131

Answer:

C. 131°

Step-by-step explanation:

mZBOC - mZAOB = ZBOC

218 - 87 = 131

Suppose a binomial trial has a probability of success of 0.4, and 75 trials are
performed. What is the standard deviation of the possible outcomes? Round
your answer to two decimal places.

Answers

Answer:

4.24

Step-by-step explanation:

Just took the quiz

What is the area of this figure?

Answers

Answer:

11610

Step-by-step explanation:

First you do the top rectangle which the area for that is 144 which is 4 times 4 times 3 times 3.

Then you do the middle rectangle which the area is 441 which is 7 times 7 times 3 times 3.

Then you do the last rectangle which the area is 11025 which is 15 times 15 times 7 times 7.

Then lastly you add all three areas which is 144+441+11025=11610. So therefore, the answer is 11610.

What MUST be true when adding and subtracting numbers in scientific notation?

Answers

This might help you with your question 2 numbers inside of scientific notation have to be manipulated in order for their own foundations to have the same exact exponent

To be added or subtracted, two numbers in scientific notation must be manipulated so that their bases have the same exponent--this will ensure that corresponding digits in their coefficients have the same place value.

Which decimal number is larger?
0.0033 or 0.03

Answers

Answer:

0.03

Step-by-step explanation:

0.03>0.0033 (There are more zeroes in 0.0033)

Answer:Brainliest plz

Step-by-step explanation:

0.03 is larger

0.0033

0.03

the 0.03 one is the answer becuase 0.03 is larger than 0.003 since there is one less zero...

Based on the sample of 8th graders in the table, how many of the 350 students in 8th grade will like Pop/Rock as their favorite type of music?

Answers

Answer:

168

Step-by-step explanation:

Out of the 12 + 7 + 6 = 25 students sampled, 12/25 = 48% students liked Pop/Rock so 48% of 350 = 168 students is the answer.

Answer: 168 students

Step-by-step explanation:

12 + 7 + 6 = 25 so if we add all the numbers we get 25 then

we put it as 12/25 which is

48% students liked Pop/Rock

so then we do 48% of 350 or divide and get

168 students

Hope this helps :)

Simplify the expression completely:

4x^2+2x-42/4x /(x-3)

Answers

Answer:

(x (8 x^2 - 20 x + -33))/(2 (x - 3))

Step-by-step explanation:

Simplify the following:

4 x^2 + 2 x - (42 x)/(4 (x - 3))

The gcd of 42 and 4 is 2, so 42/4 = (2×21)/(2×2) = 2/2×21/2 = 21/2:

4 x^2 + 2 x - x/(x - 3) 21/2

Put each term in 4 x^2 + 2 x - (21 x)/(2 (x - 3)) over the common denominator 2 (x - 3): 4 x^2 + 2 x - (21 x)/(2 (x - 3)) = (8 (x - 3) x^2)/(2 (x - 3)) + (4 (x - 3) x)/(2 (x - 3)) - (21 x)/(2 (x - 3)):

(8 x^2 (x - 3))/(2 (x - 3)) + (4 x (x - 3))/(2 (x - 3)) - (21 x)/(2 (x - 3))

(8 (x - 3) x^2)/(2 (x - 3)) + (4 (x - 3) x)/(2 (x - 3)) - (21 x)/(2 (x - 3)) = (8 (x - 3) x^2 + 4 (x - 3) x - 21 x)/(2 (x - 3)):

(8 x^2 (x - 3) + 4 x (x - 3) - 21 x)/(2 (x - 3))

Factor x out of 8 (x - 3) x^2 + 4 (x - 3) x - 21 x, resulting in x (8 (x - 3) x^(2 - 1) + 4 (x - 3) - 21):

(x (8 x^(2 - 1) (x - 3) + 4 (x - 3) - 21))/(2 (x - 3))

2 - 1 = 1:

(x (8 x (x - 3) + 4 (x - 3) - 21))/(2 (x - 3))

8 x (x - 3) = 8 x^2 - 24 x:

(x (8 x^2 - 24 x + 4 (x - 3) - 21))/(2 (x - 3))

4 (x - 3) = 4 x - 12:

(x (4 x - 12 + 8 x^2 - 24 x - 21))/(2 (x - 3))

Grouping like terms, 8 x^2 + 4 x - 24 x - 21 - 12 = 8 x^2 + (-24 x + 4 x) + (-12 - 21):

(x (8 x^2 + (-24 x + 4 x) + (-12 - 21)))/(2 (x - 3))

4 x - 24 x = -20 x:

(x (8 x^2 + -20 x + (-12 - 21)))/(2 (x - 3))

-12 - 21 = -33:

Answer: (x (8 x^2 - 20 x + -33))/(2 (x - 3))

Ekene was curious if sample range was an unbiased estimator of population range. She placed ping pong balls
numbered from 0 to 32 in a drum and mixed them well. Note that the range of the population is 32.
She then took a random sample of 5 balls and calculated the range of the sample. She replaced the balls and
repeated this process for a total of 50 trials. Her results are summarized in the dotplot below, where each dot
represents the sample range from a sample of 5 balls.
.
ea
8
12
16
20
24
28
32
Sample range
Based on these results, does sample range appear to be a biased or unbiased estimator of population range?
Hint: The population range is 32.
Choose 1 answer:
Sample range appears to be a biased estimator since it consistently underestimated the population

Answers

Answer:

(a) Sample range appears to be a biased estimator since it consistently underestimated the population range.

Step-by-step explanation:

The sample ranges appear to be centered below 32

I got this right on Khan

In this exercise we have to use, in addition to the knowledge of statistics, the graph informed in the exercise in this way, we can say that:

Letter A

When we look at the graph, the maximum points are at 21 and 31, while the samples ranges appear to be centered below 32, that is we can say that the letter A is more appropietate.

See more about statistics at brainly.com/question/10951564

Which of these values would you most likely see on a U.S. speed limit sign?
O A. 200 miles / day
O B. 3,500 miles / second
C. 18 feet/ second
O D. 55 miles/hour​

Answers

D would be your answer

D. The US speed limit signs use Miles Per Hour

Find the minimum and maximum values of the objective function z=3x+5y

Answers

3.15 addd all of them! Then divide

The answer to the question is

3.15

i need help matching the vocab to the solutions

Answers

a-5

b-1

c-4

d-6

e-2

f-3

g-7

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