a ruler and a pair of compasses Using only 1 Construct a Line IABI= 10cm b. Perpendicular bisector at A to C. c.Angle ABC =30. d. construct perpendicular bisector at B to Do such that AC BD. Join A to D
measure AD and angle ADB.​

Answers

Answer 1

Answer:

Using a graduated ruler, draw a line segment AB of length 10 cm.

Draw 2 arcs of radius more than half of AB with A as the center, one above AB and one below AB.

With the same radius, similarly, draw 2 arcs with B as the center.


Related Questions

Find the mean and the median of this data: 9, 6, 5, 3, 28, 6, 4, 7.

Answers

Answer: 9 is mean and median is 6

Step-by-step explanation:

plsss need help nowwww

Answers

Answer:

49/12

Step-by-step explanation:

1 ⅓ can be written as 1 + 1/3

1 ⅓

= 1 + 1/3

LCM = 3

= 3/3 + 1/3

= ( 3 + 1 )/3

= 4/3

2 ¾

= 2 + 3/4

LCM = 4

= 8/4 + 3/4

= ( 8 + 3 )/4

= 11/4

1 ⅓ + 2 ¾

= 4/3 + 11/4

LCM = 3 x 4 = 12

4/3 x 4/4

= ( 4 x 4 )/( 3 x 4 )

= 16/12

11/4

= 11/4 x 3/3

= ( 11 x 3 )/( 4 x 3 )

= 33/12

16/12 + 33/12

= ( 16 + 33 )/12

= 49/12

Answer:

I don’t know if it correct, but when I solved it I got 4 1/12

Step-by-step explanation:

(1+2) (1/3 + 3/4)

3 + 13/12

3 + 1 1/12

3 + 1 + 1/12

4 + 1 /12

4 1/12

If AB is translated right 5 units and down 2 units, what are the coordinates of A', the image of point A?

Answers

Answer:

(1,0)

PLEASE mark me brainliest!!

Answer:

1, 0

Step-by-step explanation:

When ranking candidates running for office, describe how it would or would not be possible for a voter to give two people the same rank.

It would be possible to give two people the same rank, as it is always possible to have a tie-breaker vote if two candidates are ranked the same by all voters.

It would be possible to give two people the same rank, as there are so many votes generated during the election that one vote giving two people the same rank would not make a difference.

It would not be possible to give two people the same rank, as ranking candidates means that one and only one candidate is given a specific rank.

It would not be possible to give two people the same rank, as the reason candidates are ranked is to make sure there are no ties.

Answers

Answer:
I believe it is Option C.

Step-by-step explanation:

There has only been one single tie since the passing of the 12th Amendment. It is a very low chance for a possible tie to take place, so they would have no reason to ensure it doesn't happen as it's already unlikely, ruling out option D. Giving two people the same rank would definitely make a difference as you are basically adding not 1, but two votes. Though it would even the count out, each person would gain 1 point, so it would make a difference. Option B is ruled out. This also potentially explains debunking A as there's no possible way to plan a tie to that extent. Again. ties happen very rarely, so it would be unlikely that voting for both candidates would impact the choice at all.

What type of triangle is defined by the following set of side lengths
12, 8, 16
Question 3 options
Acute
Obtuse
Right
Not a triangle

Answers

The type of triangle defined by the following set of side lengths is an obtuse triangle

Properties of a triangle.

Triangles are 2-dimensional shapes with 3 sides and angles.

The triangle with the sides 12, 8 and 16 is considered a triangle since the sum of two of its sides is greater than the third.

The triangle is not right angle since the sum of its longest side is not equal to the sum of the square of other two sides.

This shows that the triaangle can either be acute or obtuse. Since one of the sides differes from the other by 8 units, hence one of its angles will be greater than 90 degrees.

This shows that the type of triangle defined by the following set of side lengths is an obtuse triangle

Learn more on obtuse triangle here: https://brainly.com/question/5023725

expand and simplify \5 (\10 +\2) ?

someone said the answer was 60, so i tried it and it didn’t work. can anyone help please?

Answers

Answer:

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

Step-by-step explanation:

[tex]\sqrt{5} (\sqrt{10} +\sqrt{2} ) < --Given[/tex]

[tex]\sqrt{5} \sqrt{10} +\sqrt{5} \sqrt{2} < -- Distribute[/tex]

An equation is in its simpliest form when you eliminate as many square roots as possible. Here are some rules:

1.) You cannot combine numbers through addition or subtraction if they are under square roots. However, you can combine numbers through multiplication or division if they are under square roots.

2.) You cannot take the square root of a number if the answer is not a whole number (unless the problem says you can). However, you can solve the square root if the number can be simplfied into a "rootable?" number. In other words, the number under a square root can be divided into a number that can have its square root taken.

The first part...

[tex]\sqrt{5} \sqrt{10} = \sqrt{5} * \sqrt{10} < --Multiply[/tex]

[tex]\sqrt{5} * \sqrt{10} =\sqrt{50}[/tex]    

[tex]\sqrt{50} = \sqrt{25} *\sqrt{2} < --Separate[/tex]

[tex]\sqrt{25} = 5 < --Solve[/tex]

[tex]\sqrt{50} = 5 *\sqrt{2} < -- Substitute[/tex]

[tex]5*\sqrt{2} =5\sqrt{2} < --Rewrite[/tex]

The second part...

[tex]\sqrt{5} \sqrt{2} =\sqrt{5} * \sqrt{2} < -- Multiply[/tex]

[tex]\sqrt{5} *\sqrt{2} = \sqrt{10}[/tex]

Combine both parts...

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

please find the area of the shaded region. EFGH is a square

Answers

The answer should be 96cm^2, I’ll say how I got my answer.

I multiplied 12 x 8 which gives you 96cm^2, and area is equal to (L x W)

HELP PLEASE I HAVE A TIME LIMIT
the net for a pentagonal prism has 7 regions and 10 vertices. use Euler's formula to find the number of segments

Answers

Using the Euler's formula, the number of segments in the pentagonal prism is: 15.

What is the Euler's Formula?

The Euler's formula is given as,  F + V = E + 2, where:

F = number of faces (number of regions)V = verticesE = number of edges (number of segments).

Given that the pentagonal prism has the following dimensions:

F = 7V = 10E = number of segments = ?

Plug in the values into the Euler's formula, F + V = E + 2:

7 + 10 = E + 2

17 - 2 = E

E = 15

Therefore, using the Euler's formula, the number of segments in the pentagonal prism is: 15.

Learn more about the Euler's formula on:

https://brainly.com/question/1178790

Solve for x (literal equations)
C=b-bx

Answers

Answer:

X= (-c+b)÷b

or

X= -b×(c-b)

Step-by-step explanation:

C=b-bx

b-bx=c

-bx= c-b

-x=(c-b)÷b

x= -(c-b)÷b

or

-x= b×(c-b)

x= -b×(c-b)

answer needed please

Answers

Answer:

the top answer should be stretched

If the scores from an intelligence test are normally distributed, then you would predict that the largest number of people would receive an IQ score of _____ on that test.

Answers

Using the normal distribution, it is found that the prediction is that the largest number of people would receive an IQ score of 100 on that test.

Normal Probability Distribution

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

IQ scores have mean of 100, and since in the normal distribution most measures are around the mean, an IQ score of 100 is the prediction.

More can be learned about the normal distribution at https://brainly.com/question/24663213

1. Look at the sequence in this table.
n
1
2
3
4
On
5
an
а.
-1
1
3
5
7
Which function represents the sequence?
+ 1
A. a = 8,-1
B. a = 8,-1
+1
1+2
+ 2
n
a
c. a, = 2a,-1-1
a
D. a = 2a-,-3
-1
n
,
n
n1

Answers

Answer:

option (C) is correct

Step-by-step explanation:

[tex]a_1=-1-\infty[/tex]

[tex]a_2=1-2[/tex]

[tex]a_3=3[/tex]

[tex]a_4=5[/tex]

[tex]from \ (1)\ and\ (2)[/tex]

[tex]a_2=2(-1)-1=-1[/tex]

[tex]ie.,\ a_2=2(a_1)-1[/tex]

[tex]so,\ a_n=2a_n_-_1-1[/tex]

[tex]Answer:option\ (C)\ is\ Correct[/tex]

I hope this helps you

:)

For each number set in this assignment, give the mean, median, mode, and range. If one of these quantities does not exist in the set, then put "0". ​47, 31, 84, 50, 68, 85, 67, 56

Answers

Answer:

Mean: 54
Median: 61.5
Mode: 0
Range: 54

Step-by-step explanation:

Mean: Add everything up and divide by the amount of numbers
(47 + 31 + 84 + 50 + 68 + 85 + 67 + 56 = 488/8 = 54)

Median: Put all numbers in order from smallest to largest, the middle number is the median. Since we have 2 middle numbers, we add both 67 and 67 together, then divide them by 2.
31, 47, 50, 56, 67, 68, 84, 85
(56 + 67 = 123/2 = 61.5

Mode: The mode is the number that appears most often in the set of given numbers.
(There are no numbers that appear more than once so the mode is 0)

Range: The range is the largest number subtracted by the smallest number.
(85 - 31 = 54)

Solve for xx. Round to the nearest tenth, if necessary.

Answers

sin U= |TS| / |US|

-> |US| = |TS| / sinU

-> x= 0.6 / sin 37°

-> x≈1,0

What is 20% of 60?

please and fanks

Answers

Answer:

heya! ^^

so the question demands us to calculate what is 20% of 60.

that's quite simple. so let's see how we gótta do this question.

[tex]\\\\ \fbox{20\% \: \: of \: \: 60} \\ \\ \dashrightarrow \: \frac{2\cancel0}{\cancel{100}} \times 6\cancel0 \\ \\ \dashrightarrow \: 2 \times 6 \\ \\ \dashrightarrow \: 12[/tex]

hope helpful :D

Answer:

12

▬▬How to▬▬Convert 20% to fraction.[tex]20[/tex]% ⇒ [tex]\frac{1}{5}[/tex]Flip [tex]\frac{1}{5}[/tex] to [tex]\frac{5}{1}[/tex][tex]\frac{5}{1}[/tex] also equals 5Add 5 and 1[tex]5 + 1 = 6[/tex][tex]6 * 2 = 12[/tex]

Hence, the answer is 12

what is 1+2+3+4+5+6+7+8+9+10+11+12+13+14+15+16+17+18+19+20+21+22+23+24+25+26+27+28+29+30*0.0

Answers

Answer:

435

Step-by-step explanation:

1+2+3+4+5+6+7+8+9+10+11+12+13+14+15+16+17+18+19+20+21+22+23+24+25+26+27+28+29+30*0.0= 435

Answer:

the answer is: 435

Step-by-step explanation:

Abebi surveyed how many miles the students in her Algebra 1 class travel to get to school, and ended up with the following set of data: 4.75, 2.25, 3, 3.5, 1.75, 2.25, 1.5, 5, 4.5, 2.25, 2, 3, 2.65, 4.8, 3.5\

Match the measures of central tendency to the correct values.

Hint:

MEAN = Sum of the data/# of data values

MEDIAN = middle data value when values are listed least to greatest

MODE = value appearing the most times

RANGE = difference between the largest and smallest values

Answers

Answer:

Mean: 3.1

Median: 3

Mode: 2.25 appears 3 times

Range: 5 - 1.5 = 3.5

Mean = (4.75+2.25+3+3.5+1.75+2.25+1.5+5+4.5+2.25+2+3+2.65+4.8+3.5)/16

= 3.56625

Median = 3.50

Mode = 2.25

Range = 9.10

Graph the solution to this inequality on the number line.

12x−3<−138

Answers

Answer:

Step-by-step explanation:

1. Solve

12x-3+3<-138+3 <=== Add three to both sides to simplify the inequality

12x÷12<-135÷12 <=== divide by 12 on both sides so we can find what x is so that we can graph the inequality

x<-11.25 <=== negative divided by positive is always negative

2. Graph

1) you find -11.25 on the number line

2) you put an ray with an empty/hollow circle facing towards the negative side

The area of a square garden is
1/144 km ^2 . How long is each​ side?

Answers

Answer:

[tex]\frac{1}{12}[/tex] Km

Step-by-step explanation:

the area (A) of a square is calculated as

A = s² ( s is the side length )

here A = [tex]\frac{1}{144}[/tex] , then

s² = [tex]\frac{1}{144}[/tex] ( take square root of both sides )

s = [tex]\sqrt{\frac{1}{144} }[/tex] = [tex]\frac{1}{\sqrt{144} }[/tex] = [tex]\frac{1}{12}[/tex]

Answer:

side= 1/12 km = 0.083km

Step-by-step explanation:

The formula of area of a square is: A=side²

To get the length of each side, square root each side of the formula as shown below:

√A=√(side)²

√(1/144)=side

side= √(1/144) = 1/12 = 0.083km

what are the answers?

Answers

Answer:

Step-by-step explanation:

hello : 12=4x   and   x-3=0

Find the volume of this triangular prism.

Answers

Step-by-step explanation:

To find volume of triangular prism the formula is : 1/2 base× height × length

so,1/2 × 7cm × 6cm × 10cm

420cm³/2

= 210cm³

The width of a rectangular garden is 9 feet, and its length is 12 feet. Three of these expressions equal the perimeter of the garden, in feet. Which expression does NOT?


Answers

Answer:

breadth does it 9 feet

12 feet

Carl is the owner of a shoe store and notices that his electricity bill has increased by 3%. Which of the expressions below represent a 3% increase?
1. a + 0.03a
2. a + 0.3a
3. 1.03a
4. 1.3a

expression 1 only
expression 2 only
expressions 1 and 3
expressions 2 and 4

Answers

Answer:

1 and 3

Step-by-step explanation:

Three times a number increased by two
times another number equals 28. Two
times the first number increased by
three times the second number equals
27. Find the two numbers.

Answers

Answer:

r={21}

Step by Step Explanation:

PREMISES

Two times three plus a number, say, r=27

ASSUMPTIONS

Let r=the number

CALCULATIONS

The numerical expression “two times three plus a number r=27” can be denoted as:

(2×3)+r=27

6+r=27

6–6+r=27–6

0+r=27–6

r=21

PROOF

If r=21, then the equations

(2×3)+r=27

6+21=27 and

27=27 prove the root (zero) r=21 of the statement (2×3)+r=27

PREMISES

Two times three plus a number, say, r=27

ASSUMPTIONS

Let r=the number

CALCULATIONS

The numerical expression “two times three plus a number r=27” can be denoted as:

(2×3)+r=27

6+r=27

6–6+r=27–6

0+r=27–6

r=21

PROOF

If r=21, then the equations

(2×3)+r=27

6+21=27 and

27=27 prove the root (zero) r=21 of the statement (2×3)+r=27

Answer:

5 and 6

Step-by-step explanation:

let the 2 numbers be x and y , then

3x + 2y = 28 → (1)

2x + 3y = 27 → (2)

multiplying (1) by 2 and (2) by - 3 and adding will eliminate x

6x + 4y = 56 → (3)

- 6x - 9y = - 81 → (4)

add (3) and (4) term by term to eliminate x

0 - 5y = - 25

- 5y = - 25 ( divide both sides by - 5 )

y = 5

substitute y = 5 into either of the 2 equations and solve for x

substituting into (1)

3x + 2(5) = 28

3x + 10 = 28 ( subtract 10 from both sides )

3x = 18 ( divide both sides by 3 )

x = 6

The 2 numbers are 6 and 5

How do you write 950% as a fraction, mixed number, or whole number?

Answers

To convert 950 percent to a fraction follow these steps:
Step 1: Write down the percent divided by 100 like this:
950% = 950/100
Step 2: Multiply both top and bottom by 10 for every number after the decimal point:
As 950 is an integer, we don't have numbers after the decimal point. So, we just go to step 3.
Step 3: Simplify (or reduce) the above fraction by dividing both numerator and denominator by the GCD (Greatest Common Divisor) between them. In this case, GCD(950,100) = 50. So,
(950÷50)/(100÷50) = 19/2 when reduced to the simplest form.
As the numerator is greater than the denominator, we have an IMPROPER fraction, so we can also express it as a MIXED NUMBER, thus 950/100 is also equal to 9 1/2 when expressed as a mixed number.

A study claims that the average home sale price in Kansas is less than the average home sale price in Missouri. The average sales price for 35 home sales in Kansas is $240,993 with a standard deviation of $25,875. The average home sales price for 37 homes in Missouri is $249,237 with a standard deviation of $27,110. At the (alpha) a= 0.10, is there enough evidence to reject the study’s claim?

Complete a full hypothesis test for the following. Include the hypotheses, critical

value(s), test value and graph, your decision to reject or not reject, and a summary of

the information​

Answers

Since [tex]|z| = 1.301 \leq z_1 = 1.64[/tex] null hypothesis on this data is not rejected.

Null and Alternative Hypothesis

Data;

sample mean x1 = 240993population standard deviation σ1 = 25875sample size n1 = 35sample mean x2 = 249237population standard mean σ2 = 27110sample size n2 = 35significance level α = 0.10

H_o = μ1 = μ2

H_o = μ1 ≠ μ2

This is a two-tailed test and population standard deviation will be used.

Test Statistic

The z-stat is

[tex]z = \frac{x_1 - x_2}{\sqrt{\frac{\sigma_1^2}{n_1}+ \frac{\sigma_1 ^2}{n_2} } } \\z=\frac{240993-249237}{\sqrt{\frac{25875^2}{35}+ \frac{27110^2}{35} } } \\z = \frac{-8244}{6334.6388} \\z = -1.301[/tex]

The significance level is  α = 0.1 and the critical value for a two-tailed test is

[tex]Z_t = Z_1 - _\alpha _/_2 = 1.64[/tex]

Since [tex]|z| = 1.301 \leq z_1 = 1.64[/tex], we can assume that the null hypothesis is not rejected.

Learn more on null hypothesis here;

https://brainly.com/question/15980493

What expression is equal to 6(2f + 2)

Answers

Answer:

[tex]\boxed{\sf{12f+12}}[/tex]

Step-by-step explanation:

Use the distributive property.

Distributive property formula:

A(B+C)=AB+AC

6(2f + 2)

Multiply.

6*2f=12f

6*2=12

Rewrite the expression down.

12f+12

So, the final answer is 12f+12.

I hope this helps! Let me know if you have any questions.

Answer:

12f + 12

Step-by-step explanation:

Step 1:  Distribute

6(2f + 2)

(6 * 2f) + (6 * 2)

12f + 12

Answer: 12f + 12

PLS HELP- WILL GIVE BRAINLIEST!!

Answers

Answer:

b = 4 mm

Step-by-step explanation:

[tex]b=\sqrt{5^{2}-3^{2} } =\sqrt{25-9}=\sqrt{16} =4[/tex]

Hope this helps

Answer:

The missing leg measures b = 4 millimeters in length.

Step-by-step explanation:

The Pythagorean theorem should be used to find the missing leg measure.

The formula is a2+b2=c2, where a and b are the leg lengths and c is the hypotenuse length. This is known as the Pythagorean theorem.

Let's use the Pythagorean theorem now that a = 3 and c = 5.

a^2 + b^2 = c^2 - This is the Pythagorean theorem equation.

3^2 + b^2 = 5^2 - Fill in the equation with a=3 and c=5.

9 + b^2 = 25

b^2 = 16 - Take 9 off both sides or subtract.

square root of b^2 = square root of 16 - Take the square root of both sides of the equation.

b = 4 - Simplify

The missing leg measures b = 4 millimeters in length.

Which number line shows the solution set for Ip-31-97
-129
3
6 9 12
-12 -9
-6
-3
0
3
6
9 12
.
+
-12 -9
-6 3 0
+
9
12
o
3
-12 g 6
-3
0
12

Answers

The answer is 12g -13 /12-16+13.5

using the similar triangles below, solve for x !

Answers

Answer:

Step-by-step explanation:

Remarks.

This can be solved as a proportion. A proportion is 2 ratios making a total of 4 parts. If we know 3 of the parts, we can solve for the 4th.

63/(8x - 2) = 49 /42

Notice that the given parts of the top triangle are the numerators of the ratios. The 2 parts of the bottom triangle are the denominators of the proportions

Proportion

63/(8x - 2) = 49 /42

Solution

63/(8x - 2) = 49 /42                        Cross Multiply

(8x - 2)*49 = 63 * 42                       Combine the right.

(8x - 2)*49 = 2646                           Divide by 49

8x - 2 = 54                                        Add 2 to both sides

8x -2+2=54+2                                   Combine

8x = 56                                              Divide by 8

8x/8 = 56/8                                        

Answer: x = 7

Other Questions
Find the area of the circle. DO NOT ROUNDwhat is the area? brainliest if it is right In The Diary of Anne Frank, which theme is most supported by Mr. Kraler and Mieps gesture of bringing the cake to the annex on New Years Day?Difficult times often make individuals stronger.Family is often there to offer needed support.Wartime often brings out great kindness in people.Peace is appreciated most after it has been lost. Based on your value of x in question #1, what is the value for EHF1) 132 degrees 2) 96 degrees 3) 180 degrees4) 90 degrees How might audio or video versions have an effect on meaning?a. Readers can visualize what is happening?b. Readers can emphasize what they want.c. Different media forms dont not change anything for the reader.d. The interpretation is not left up to the reader. Why was John Wesleys message attractive to working class people? Select all of the triangles below which are translations of triangle X. The ratio of two numbers is 4 to 3. The sum of the numbers is 49. What are the two numbers? True or False: limx0^+ e^-5/x =0 Which name is given to a hacking technique used against static packet filtering firewalls to discover the rules or filters controlling inbound traffic After January 1, 1898, what were the two requirements that were designed to keep African American from voting? Please help me answer this question please! A con of being in a single decision-maker role is that is usually takes longer to make a decision. please select the best answer from the choices provided t f ECONOMICS In which situation does the national debt decrease? A. The federal government has a balanced budget. B. The federal government has a decrease in the federal deficit from the previous fiscal year but still has a deficitC. The federal government hwd a surplus in the budget D. The federal government has an increase in the federal deficit from the previous fiscal year Aaron makes $45 dollars per day delivering newspapers. He earns 0.75 for each newspaper he delivers. How many newspaper, n, must he deliver in one day to make at least $60 probably very easy but i do need some help asapmy calculations are not giving me the answer i'm supposed to receive which is9y^3(3-y) what's the perimeter of the isoceles triangle shown below? The formula for the volume of a pyramid is v=1/3bh A man is pushing a large box with a force of 44 newtons. He slides over a floor that has a sliding frictional force of 12 Newtons. What is the acceleration? You want to buy a new computer that costs $2250. You check your savings-account balance and realize that to buy the computer, you will need $125 more than what you have in your savings account (s). How much money do you have in your savings account? In passage 2, how does holden transform the character of the carpenter so that the character is different than in passage 1?