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.

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Related Questions

the volume of a cube is increasing at the rate of 12 in^3/min. how fast is the surface area increasing in square inches per minute, when the length of an edge is 20in.?

Answers

We want to find the rate of change of the surface for a cube of increasing volume.

When the side length is equal to 20 inches, the surface area is increasing at a rate of 439.29 in^2 per minute.

We know that for a cube of side length S, the volume is:

V = S^3

And the surface area is:

A = 6*S^2

Here we know that the volume increases at a rate of 12in^3/min.

Because the volume depends on the side length cubed, we can say that the side length increases at a rate of:

∛(12in^3)/min = 2.29 in/min

Then, as a function of time t in minutes, we can write the side length as:

S(t) = (2.29 in/min)*t

Then the surface area equation is:

A(t) = 6*((2.29 in/min)*t)*((2.29 in/min)*t)

A(t)  = (31.46 in^2/min^2)*t^2

The rate of change is given by direct differentiation, we get:

A'(t) = 2*(31.46 in^2/min^2)*t

Now we need to evaluate this in the value of t such that the side length is equal to 20 in:

S(t) = 20in = (2.29 in/min)*t

         (20in)/(2.29 in/min) = t = 8.73 min

Then we will get:

A'(8.73min) =  2*(31.46 in^2/min^2)*8.73min = 439.29 in^2/min

This means that when the side length is equal to 20 inches, the surface area is increasing at a rate of 439.29 in^2 per minute.

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what is 100 divided by 5, (the answer) x 3 (the answer) x 79 (the answer) - 4

NO LINKS PLEASE! First to answer correct gets Branliest!!!

Answers

Answer:

4736

Step-by-step explanation:

1) 100 divided by 5 is 20

2) 20 times 3 is 60

3) 60 times 79 is 4740

4) 4740 subtract from 4 is 4736

5) Answer is 4736

Answer:

4736

Step-by-step explanation:

5*20 = 100

20*3 = 60

60*79 = 4740

4740 - 4 = 4736

542+876-65+76×5444+556-77​

Answers

Answer:

=415576

Step-by-step explanation:

=1418−65+(76)(5444)+556−77

=1353+(76)(5444)+556−77

=1353+413744+556−77

=415097+556−77

=415653−77

Find the equation of the linear function represented by the table y 6 9 12 15 x 1 2 3 4​

Answers

Answer: y = 3x + 3

Step-by-step explanation:

We know the linear function as following:

y = mx + b

m is the slope of the equation. b represents the y-intercept.

To find m, we divide the rate of change of y by the rate of change of x. We know that the rate of change y is +3 because we add three each time in order to find the next value. The rate of change of x is +1 because we add one each time to find the next value. So m would be:

m = 3/1

m = 3

Our linear equation is now as following:

y = 3x + b

In order to find b, we should first substitute a coordinate in the equation above.

y = 3x + b

6 = 3(1) + b

Then, we multiply 3 with 1

6 = 3 + b

Finally, we substract 3 on both sides. Now we've got our b value.

b = 3

Now our equation should look like this.

y = 3x + 3

To verify if the equation, we should substitute another coordinate, and verify if each side of the equation is equal.

y = 3x + 3

15 = 3(4) + 3

15 = 12 + 3

15 = 15

So we now know that the equation is indeed correct.

Answer:

y = 3x + 3

Step-by-step explanation:

As per given table we have ordered pairs:

(1, 6), (2, 9), (3, 12), (4, 15)

Find the slope and y- intercept to work out the equation.

y = mx + b

The slope:

m = (9 - 6)/(2 - 1) = 3/1 = 3

The y -intercept:

6 = 3*1 + b6 = 3 + bb = 3

The equation is:

y = 3x + 3

The graph is attached

The Astronomical Telescope shop plans to introduce a new model based on the following information: Rent and utilities per period are $ {fixed}; variable cost per unit is $ 217; selling price per unit is $ 305; determine the break-even point in units if rent and utilities are increased to $ 5420.

Answers

Using the profit concept, it is found that the break-even point is of 61.6 units.

Profit is given by revenue subtracted by cost.The break-even point is when the revenue is the same as the cost, which means that the profit is zero.

In this problem:

Variable cost per unit x of $217, fixed cost of $5,420, thus, the cost equation is given by:

[tex]C(x) = 217x + 5420[/tex]

Selling price per unit of $305, thus, the revenue equation is given by:

[tex]R(x) = 305x[/tex]

The break-even point is the value of x for which:

[tex]R(x) = C(x)[/tex]

Then

[tex]305x = 217x + 5420[/tex]

[tex]88x = 5420[/tex]

[tex]x = \frac{5420}{88}[/tex]

[tex]x = 61.6[/tex]

The break-even point is of 61.6 units.

A similar problem is given at https://brainly.com/question/4001746

ar can drive 90 miles on 3 gallons of gas. How
many miles can be driven with 11 gallons of gas?

Answers

90* 3 = 30
30 x 11 = 330
330 miles

pls help
which trend line properly describes the data relationship in the scatterplot? ​

Answers

Answer:

The 2nd one

Step-by-step explanation:

The trend line properly describes the data relationship in the scatterplot is plot A.

What is Trend line?

A trend line is also known as a line of best fit, and it is used to illustrate the behaviour of a set of data to assess if it is in a given pattern. So, a trend line is an analytical technique that is frequently used in conjunction with a scatter plot to determine whether or not there is a relationship between two variables.

As, per the plots.

The scatter plot A have the points distributed symmetrically on the both side of line.

Also, straights lines are negatively correlated with scatter points.

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A laptop has a listed price of $693.95 before tax. If the sales tax rate is 6.5%, find the total cost of the laptop with sales tax included. Round your answer to the nearest cent, as necessary.

Answers

Answer:

45.11

Step-by-step explanation:

693.95 x .065 = 45.11

.
-1 + 4c = -19
-
-
C =

Answers

Answer:

Hey mate.....

Step-by-step explanation:

This is ur answer....

-1 + 4c = -194c = -19 + 14c = -18c= -18/4c = 9/2

Hope it helps!

Brainliest pls!

Follow me! ♧

If you want someone to do your homework assignments for you (math, English) for a cheap price lmk

Answers

Answer:

I do lol

Step-by-step explanation:

Answer:

why would you wanna do someone's homework on Math and English?

Step-by-step explanation:

they wouldn't learn anything if they make you do their homework, besides what's the point of the homework if they don't learn anything? I know homework's are hard, but they give it for you to understand more of the lesson.

and you will also make yourself tired doing someone's homework what about your responsibilities?

It'll be only beneficial for you but not for them yeah you'll get money but its best if you let them do their homework. I mean homework's aren't that bad.

They just think they can't do it cause their lazy, and they think they wouldn't know the answer. Besides they can't just lay around all day because they paid you for doing their homework, they won't even know if your scamming them.

Greatest common factor of 30 and 75

Answers

Step-by-step explanation:

The prime numbers 5 and 3 are both factors that are common to 30 and 75. The product of these factors is 3×5 = 15. Thus, the “Greatest Common Factor” of 30 and 75 is 15.

Answer:

the Greatest common factor of 30 and 75 is 15

Step-by-step explanation:

The product of these factors is 3×5 = 15. Thus, the “Greatest Common Factor” of 30 and 75 is 15.

(01.02 HC) A jar contains 0.85 liter of strawberry juice and 0.50 liter of mango juice. Celina poured 0.15 liter of watermelon juice into the jar. She then drank 0.30 liter of the mixture.

Part A: Write an expression to represent the total amount of juice left in the jar.

Part B: Simplify the expression and identify which property is used in each step.

Answers

Part A:

GIVEN:  Strawberry Juice = [tex]0.85[/tex] liters, Mango Juice = [tex]0.50[/tex] liters, Watermelon Juice = [tex]0.15[/tex] liters, Drank Juice = [tex]0.30[/tex] liters.

-------------------------------------------------------------------------------------------

· Find the expression

In this case, all of them have to be combined to find the expression

Thus,

Expressions in these queries are arithmetical statements that may be defined by the operator, and the following discussion could indeed define a minimum of 2 terms containing the numbers or the variables, or both.

strawberry juice = 0.85 liter

mango juice = 0.50 liter

watermelon juice= 0.15 liter

drank juice = 0.30 liter

solution:

0.85+0.5+0.15 = 1.5

if she drank 0.3, remove it from 1.5, then 1.3

this expression would be : (0.85+0.5+0.15) - 0.3 = 1.2

Write the equation of the line passing through the points (6,2) and (-2,-2). The equation of the line is [] Please helppp!!

Answers

Answer:

Step-by-step explanation:

slope=(-2-2)/(-2-6)=-4/-8=1/2

eq. of line is

y-2=1/2(x-6)

2y-4=x-6

2y=x-6+4

2y=x-2

or y=1/2x-1

solve for x: 2(3x +1)-4=6 ​

Answers

Answer:

4/3 or 1.3333333...

Step-by-step explanation:

2 x (3x + 1)-4 = 6.

6x+2-4=6.

6x+2=10

6x=8.

X= 1.3333333... OR 4/3

Answer:

refer to the attachment

hope it helps

(( BRAINLISET QUEATION ))
The temperature of a room is -4 degree Celsius. The temperature of the heater is 16 degree Celsius. How many degrees more than room temperature is the heater?

Answers

Answer:

Step-by-step explanation:

Under steady state condition heat released to the room=heat dissipated out of the room Let θ be the temperature of heater Then

θ−20=α[20−(−20)] .(i)

and θ−10=α[10−(−40)] .(ii) Solving Eqs. (i) and (ii) we get

we get

θ=60∘C

WILL GIVE BRAINLIEST!!!!!! ANSWER QUICK PLEASE!!!

Answers

Answer:c?

Step-by-step explanation: i think?

with in the image below, disregarding the scale of the objects, which of the numbered sets of basic shapes are capable building the larger shape shown below? I II III IV Select the single best answer

Answers

The answer has to be lV

You paid $375 in simple interest on an 8 year loan at 1.5% interest. How much did you
borrow?

Answers

It would be $0.47 monthly interest and $5.63 yearly interest

How do I solve the following equation

Answers

Answer:

z = 72

Step-by-step explanation:

-1/4z + 12 = -6

× 4

-z + 48 = - 24

-z = - 72

z = 72

-6-12=-1/4z
-18=-1/4z
Z=-18/-./25
Z=72

Plz check it

I NEED HELP WITH THIS ASAP

Answers

Answer:

4

Step-by-step explanation:

( 5x - 6 ) and ( 3x + 2 ) are alternate interior angles.

Alternate interior angles are equal,

So,

5x - 6 = 3x + 2

5x - 3x = 2 + 6

2x = 8

x = 8 / 2

x = 4

4, i hope this helps !!

evaluate the expression (2.5)^3

Answers

(2.5)³=2.5×2.5×2.5=6.25×2.5=15.625

please mark this answer as brainlist

The value of the expression is 15.625.

We have,

Expression:

(2.5)³

The base is 2.5 and the power is 3.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

This can be written as,

= 2.5 x 2.5 x 2.5

Convert the decimals into fractions.

= 25/10 x 25/10 x 25/10

Simplify the fractions.

= 15.625

Thus,

The value of the expression is 15.625.

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what is the total surface area of the prism in square inches

Answers

Answer:

Surface area of a square prism = 4 × (s × h) = 4sh, where, s is the length of the side of the square and h is the height of the square prism.

Does anyone know how to do multiple in fractions like for a example 1/12•1/3? Please explain step by step

Answers

[tex] \frac{1}{12} \times \frac{1}{3} \\ = \frac{1 \times 1}{12 \times 3} \\ = \frac{1}{36} [/tex]

When you want to multiply 2 fractions, merge the fractions together & then multiply the numerator first & then the denominator. After that, simplify to the lowest form if possible.

Help please! I’m a bit young so it might be easy for you! Can you please tell me this and maybe I’ll understand? Giving brainliest!

Answers

Answer:

2.36 miles

Step-by-step explanation:

subtraxt them from each other

Correct answer will get brainiest

Answers

Answer:

x=75

Step-by-step explanation:

(2x-67)+(x-23)+3x=360

6x-67-23=360

6x=450

x=75

solve pls brainliest

Answers

Solve what

I think ym forgot to add the question or sth

10 ft
8 ft
I
Find the area of this figure. Round your
answer to the nearest hundredth. Use
3.14 to approximate .
A = [? ] ft?
=

Answers

10 x 8 = 80ft for the rectangle
To work out the area of the semi circle you do pi (3.14) x the radius squared, the radius is half the diameter.
3.14 x 4 squared
3.14 x16 = 50.24ftsqaured for the whole circle so you divide it by 2 which is 25.12ft squared.
And then finally you add 25.12 and 80 so your answer is 105.12 ft squared



EMERGENCY!!! WILL GIVE THE BRAINLIEST TO THE FIRST ONE RIGHT + 30 PTS!!!

Use the maps below to answer the following question: First image. A map of North America showing the regions of Native American cultures. Second image. A political map of the United States, with all 50 states labeled. Washington, Oregon, and California are on the west coast. Moving east, from north to south, Montana, Idaho, Wyoming, Nevada, Utah, and Arizona are next seen. Then, North Dakota, South Dakota, Nebraska, Colorado, Kansas, Oklahoma, New Mexico, and Texas are seen, from north to south, in the central US. East of those states, from north to south, Minnesota, Iowa, Missouri, Arkansas, and Louisiana are seen. Wisconsin, Michigan, Illinois, Indiana, and Ohio in the Midwest, and Pennsylvania and New York in the northeast, border the Great Lakes. Kentucky, Tennessee, Mississippi, Alabama, Virginia, North Carolina, South Carolina, Georgia, and Florida are in the southeast, with Florida jutting out as a peninsula. Maryland, West Virginia, Delaware, and New Jersey are between the southeast and northeast states. Connecticut, Rhode Island, Massachusetts, New Hampshire, Vermont, and Maine are in the northeast. Alaska and Hawaii are seen as islands. Public Domain © Andrew c Creative Commons, Attribution-Share Alike 3.0 Unported Compare the maps. Which state listed below was located in the Southwest Native American cultural region? Alabama Illinois Michigan Arizona

Answers

The state that was located in the Southwest Native American cultural region is Arizona.

The state has the highest indigenous population in the USA and is home to the Navajo, Hopi and Apache. Arizona was part of New Mexico until its surrender to the United States in 1848. It was the scene of many wars against the native peoples, especially the Apache, from the 1850s to 1877. It did not become a state until as recently as 1912.

On February 28, 1859, the first Indian reservation, the Gila River Indian Reservation, was established for the Pima and Maricopa Indians in the Arizona Territory. On June 1, 1868, the United States' largest reservation, the Navajo Nation Reservation, was established by a treaty between the United States and the Navajo State.

Learn more in https://brainly.com/question/6326323

Answer:

Arizona

Step-by-step explanation:

got it right on the test :)

Identify the graph that represents y=(x-1)^2+2

Answers

Step-by-step explanation:

i hope this is what you need

A cake recipe calls for 2 1/2 cups of flour. If Mrs. Hizon will prepare for 4 2/3 servings of the recipe, how much flour will she need?

Answers

let x be the flour

now

or,(21/2)+x=42/3

or,(21+2x)/2=42/3

or, 3(21+2x)=42×2

or, 63+6x=84

or,6x=84-63

or, 6x =21

or, x=21/6

thus she need 21/6 cups of flour

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