6. Han followed these instructions to make the image. a. Given line), mark 2 points on the line b. Construct congruent circles a and b centered at the points on ). c. Construct line e through the intersection points of a and b. d. Construct circle e centered at 1 intersection point of a and ó. Mark the 2 intersection points of d'and. e. Construct aangruent carcles Anand i centered at the points on g. Construcline through the intersection points of Anand Write a statement about each pair of lines in this construction. (3 statements) pls help​

 6. Han Followed These Instructions To Make The Image. A. Given Line), Mark 2 Points On The Line B. Construct

Answers

Answer 1

Three statements are as follows -

1. It is a straight line drawn with a straightedge and cuts across the lines.

2. Both drawn with the same compass width.

3. Corresponding parts of congruent triangles are congruent.

This construction works by using the fact that a transverse line drawn across two parallel lines creates pairs of equal corresponding angles. It uses this in reverse - by creating two equal corresponding angles, it can create the parallel lines.

This is how to construct a line parallel to a given line that passes through a given point with compass and straightedge or ruler. It is called the 'angle copy method' because it works by using the fact that a transverse line drawn across two parallel lines creates pairs of equal corresponding angles. It uses this in reverse - by creating two equal corresponding angles, it can create the parallel lines.

Hence the three statements of the image are -

It is a straight line drawn with a straightedge and cuts across the lines. Both drawn with the same compass width.

Corresponding parts of congruent triangles are congruent.

To learn more about construction of image

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Related Questions

Q1) Gary has 40 oranges. Gary gives Maya 1/4 of his oranges. Gary also loses 2/5 of the rest of them. How many does Gary have left? ​

Answers

Answer: 3

Step-by-step explanation:

To find what 1/4 of 40 is you divide 40 by 4.
40/4 = 10
So, if he gave away 1/4 of his oranges he now has 30 oranges left

Next, to find 2/5 of 30, divide 30 by 5 and multiply by 2
30/5=6
6•2=12
So, he lost 12 oranges which leaves him with 18.

40-10=30
30-12=18

Gary has 18 oranges left

what is proportion mean​

Answers

Answer:

a part, share, or number considered in comparative relation to a whole.

Step-by-step explanation:

hope it helps

mark me brainliest pls

If a small boy in 30 days saved 1.00 to spend how much did he save each day

Answers

Answer:5 Penny's everyday for thirdy days

Step-by-step explanation:

A figurine of a lighthouse is shown. if the actual lighthouse is 30feet wide, how tall is the lighthouse

Answers

Answer:

30× 60 ( 3×2= 6 + tens= 60 )= minimum- 180 fery

La suma de cuatro números consecutivos es 938 cuál es el valor del número menor

Answers

De acuerdo con los cálculos realizados en el presente desarrollo, el valor del número menor es 233.

Dado que la suma de cuatro números consecutivos es 938, para determinar cuál es el valor del número menor se debe realizar el siguiente cálculo:

X + X + 1 + X + 2 + X + 3 = 9384X + 6 = 9384X = 938 - 6X = 932 / 4X = 233233 + 234 + 235 + 236 = 938

Por lo tanto, el valor del número menor es 233.

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How many combinations are possible? Assume the items are distinct.
10 items chosen 10 at a time

Answers

About 100 combinations are possible because u have to do 10x10


Some banks now use continuous compounding of an amount invested. In this case, the equation that models the value of an initial investment of P dollars in t years at an annual
interest rate of r is given by A = Pelt. Using this equation, find the value in 5 years of an investment of $2000 that earns 7% annual interest. (Round your answer to the nearest cent.)

Answers

Answer:

In this case, the equation that models the value of an initial investment of P dollars in t years at an annual interest rate of r is given by A = Pert.

Step-by-step explanation:

Prove that: (sin x - 2 sin³ x)/(2 cos³ x - cos x) = tan x​

Answers

[tex]\large\underline{\sf{Solution-}}[/tex]

We have to prove that:

[tex]\rm\longmapsto \dfrac{ \sin(x) - 2 \sin^{3} (x) }{2 \cos^{3} (x) - \cos(x) } = \tan(x) [/tex]

Taking LHS, we get:

[tex]\rm = \dfrac{ \sin(x) - 2 \sin^{3} (x) }{2 \cos^{3} (x) - \cos(x) }[/tex]

We can take sin(x) as common from numerator part. We get:

[tex]\rm = \dfrac{ \sin(x) \{1- 2 \sin^{2} (x) \}}{2 \cos^{3} (x) - \cos(x) }[/tex]

Similarly, we can take cos(x) as common from first two terms. We get:

[tex]\rm = \dfrac{ \sin(x) \{1- 2 \sin^{2} (x) \}}{ \cos(x) \{ 2 \cos^{2} (x) -1\}}[/tex]

[tex]\rm = \dfrac{ \sin(x) }{ \cos(x) } \cdot \dfrac{\{1- 2 \sin^{2} (x) \}}{\{ 2 \cos^{2} (x) -1\}}[/tex]

As we know that:

[tex]\rm\longmapsto \dfrac{ \sin(x) }{ \cos(x) } = \tan(x) [/tex]

We get:

[tex]\rm = \tan(x) \cdot \dfrac{\{1- 2 \sin^{2} (x) \}}{\{ 2 \cos^{2} (x) -1\}}[/tex]

Now, we will expand the terms in fraction:

[tex]\rm = \tan(x) \cdot \dfrac{\{1- \sin^{2} (x) - { \sin }^{2}(x) \}}{\{\cos^{2} (x) + \cos^{x}(x) -1\}}[/tex]

As we know that:

[tex]\rm \longmapsto \sin^{2}(x)+cos^{2}(x)=1[/tex]

[tex]\rm \longmapsto\cos^{2}(x)=1-sin^{2}(x)[/tex]

[tex]\rm \longmapsto\cos^{2}(x) - 1=-sin^{2}(x)[/tex]

Now substitute the values in the expression, we get:

[tex]\rm = \tan(x)\cdot \dfrac{ \cos^{2} (x)-{ \sin }^{2}(x)}{\cos^{2} (x) - \sin^{2} (x) }[/tex]

[tex]\rm = \tan(x)\cdot1[/tex]

[tex]\rm = \tan(x)[/tex]

Here, we notice that LHS = RHS

Proved.

given the right triangle ABC with the altitude BD drawn to hypotenuse………. please help asap i’ve failed this so many times

Answers

Answer:

plz mark me as a brainliest

Pleas answer this question!

Answers

a) x = -2 y = -1 so (-2,-1)

Answer:

(- 2, - 1 ) and (- 3, 0 ) , (- 1, 0 )

Step-by-step explanation:

(a)

The coordinates of the turning point ( vertex ) = (- 2, - 1 )

(b)

The roots are where the graph crosses the x- axis , that is

(- 3, 0 ) and (- 1, 0 )

help pelase i need help

Answers

Answer:

:P

Step-by-step explanation:

:P

How much is does 8×10 equal to?

Answers

8x10= 80

Have a great day! :)

Answer:

80

Step-by-step explanation:

8x10= 80

What is this answer need reply ASAP

Answers

Answer:

how many boxes is the line on

3 (1 2t) = 3t + 5 !!​

Answers

Answer:

2/3

Step-by-step explanation:

3+6t=3t+5

like terms together

6t-3t=5-3

3t=2

t=2/3

Convert the 144 km/h into meters per second

Answers

Answer:

144 Kilometers per Hour = 40 Meters per Second

Step-by-step explanation:

multiply the value in kilometers per hour by the conversion factor '0.27777777777778'.

So, 144 kilometers per hour = 144 × 0.27777777777778 = 40 meters per second.

please mark 4 brainliests.

Answer: 40 m/s

Step-by-step explanation: you can multiplied by 5/18 to convert km/h to m/s ,and you can multiplied by 18/5 to convert m/s to km/h.

solve the following inequality using the algebraic approach: 3x>-6

Answers

Answer:

x > -2

Step-by-step explanation:

3x>-6

Divide each side by 3

3x/3 > -6/3

x > -2

Please help me fast thank you for your help I’ll give 50 points

Answers

Answer:

C

Step-by-step explanation:

Answer:

It's option 3

Step-by-step explanation:

Compute the difference quotient

Answers

Make factors by splitting middle terms, you will get the value of x.

Answer:

Step-by-step explanation:

f(x) = -x^2+6x-2

-x^2+6x-2  here we use work sheets or log books

Help with test review homework please.

Answers

answer:
A. 11p^13
B. 10m^15

Answer:

11p^(13)

10m^(15)

Step-by-step explanation:

11×11=121 so sqrt(121)=11

Since 26/2=13, then p^(13)×p^(13)=p^(26). This implies sqrt(p^26)=p^13.

sqrt(121p^26)=11p^(13)

In short, you just find sqrt of 121 since 121 is a perfect square and then do p^(26/2) since 26 is even and be done.

Other problem is similar.

Sqrt(100)=10 and m^(30/2)=m^(15).

The answer is 10m^(15).

Your friend identifies the terms and like terms in the expression
3x - 5 - 2x + 9x
is your friend correct?
explain your reasoning :

Answers

Answer:

The like-terms equation would be:

10x - 5

Step-by-step explanation:

Mrs. Jackson had 493 canned goods that she collected for the annual canned food drive. She put all the cans in 7 equal piles. About how many cans are in each pile?​

Answers

Answer:

about 70 cans

Step-by-step explanation:

493÷7=70.42

yE2 ÷(3Z)= _______

if y=12, and Z=8

Answers

Answer:

45

Step-by-step explanation:

The American Association of Individual Investors (AAII) conducts a weekly survey of its members to measure the percent who are bullish, bearish, and neutral on the stock market for the next six months. For the week ending March , , the survey results showed bullish, neutral, and bearish. Assume these results are based on a sample of AAII members. a. Over the long-term, the proportion of bullish AAII members is . Conduct a hypothesis test at the level of significance to see if the current sample results show that bullish sentiment differs from its long-term average of . What are your findings

Answers

They done a war to free slaves

A kennel charges $15 per day board dogs. Upon arrival, each dog must have a flea bath that costs $12.

Part A: Write a function rule for the total cost for n days of boarding plus a bath.

Part B: How much does a 10-day stay cost?

Part C: Does a 5-day stay cost half as much as a 10-day stay? Explain.


What I Think:


I think the function rule is C=15+12n.

10-day stay cost: 135

5-day stay: 75. No, a 5-day stay does not cost half as much as the 10-day stay.

Is this correct???

Answers

Your answer makes sense. Though I would recommend using a different variable for each dog at the kennel. Like D. But other than that you're good!

A department store sells shoes with an 70% markdown. If one pair of shoes is originally $148, then with the markdown, what is the new selling price for those shoes?

Answers

Answer:

$44.40

Step-by-step explanation:

100%-70%=30%

30/100x148=44.40 (discounted price)

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At a comic book convention vendor I was selling a set of 5 comics for $38.70.
Vendor 2 was selling a set of 4 comics for $30.76. Which vendor has the higher
unit price?

Answers

Answer:

Vendor I sells more by 0.05

Step-by-step explanation:

First, you do Vendor I, divide 38.70/5, which gives you $7.74.

Then, you go to Vendor 2, divide 30.76/4 and that makes the answer $7.69.

7.74 - 7.69 = 0.05

Vendor 1 has more then Vendor 2 by 5 cents.

Two gasoline stations along an expressway have six gas pumps each. An experiment involves determining how many pumps are in use at a particular time for each station. Describe S by listing the elements.

Answers

The sample space is used to prepare a list of all possible outcomes or element in an experiment. The sample space containing all elements attainable for the number of working pumps at a particular station is listed below :

Number of stations = 2

Number of pumps per station = 6

Let the number of pumps in use at each station be listed on the row and column respectively :

P1/P2_0 _ 1__ 2 __ 3 __ 4 __ 5 __ 6

0__ 0,0 _0,1 _0,2 _0,3 __0,4_ 0,5_0,6

1__ 1,0 __1,1 _1,2 __1,3 __1,4 __1,5_ 1,6

2__2,0 _2,1 _2,2 _2,3 __2,4 __2,5_2,6

3__3,0_3,1 _3,2 _ 3,3 __3,4 __3,5 _3,6

4__4,0_4,1 _4,2 _ 4,3 __4,4 __ 4,5 _4,6

5__5,0_5,1 _5,2 _ 5,3 __5,4 __ 5,5 _5,6

6__6,0_6,1 _6,2 _ 6,3 __6,4 __ 6,5 _6,6

Therefore, all possible outcomes relating to the number of working pumps are available in the sample space created.

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Juan is making a cake for his mom's birthday. For every three cups of
flour, there are four teaspoons of sugar. If Juan used 33'cups of flour,
how many teaspoons of sugar did he use? Be sure to identify the
multiplicative rule.

Answers

Answer:

44 teaspoons

Step-by-step explanation:

33 divided by 3 is 11 and 4 x 11 is 44 if juan used 4 teaspoons of sugar every 3 cups of flour then 3 goes into 33    11 times and 4 x 11= 44

Hansen and his good buddy Xavier are both mechanics at a shop that does oil changes. They are in a friendly competition to see who can complete the most oil changes in one day. Hansen has already finished 7 oil changes today, and can complete more at a rate of 2 oil changes per hour. Xavier just came on shift, and can finish 3 oil changes every hour. Sometime during the day, the friends will be tied, with the same number of oil changes completed. How many oil changes will Hansen and Xavier each have done? How long will that take?

Answers

Least Common Multiple (LCM)
2: ( already starts at 7)
9, 11, 13, 15, 17, 19, 21
3: 7th hour
3, 6, 9, 12, 15, 18, 21
7th hour

At the 7th hour, they both have done 21 oil changes.

Q: What is the product of (a-5) and (a+3)? ​

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

Let's solve for a :

[tex](a - 5) \times (a + 3)[/tex]

[tex](a \times a) + (a \times 3) + ( - 5 \times a) + ( - 5 \times 3)[/tex]

[tex] {a}^{2} + 3a - 5a - 15[/tex]
It would be a²+3a-5a-15
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