ointwise characterization of angle bisector. a point p lies on the bisector of ! †bac if and only if p is in the interior of †bac and the distance from p to ab !

Answers

Answer 1

According to the given information the Pointwise Characterization of Perpendicular Bisectors.

What are Perpendicular Bisectors?

A line known as a perpendicular bisector divides a specified line segment precisely in half, creating a 90° angle at the intersection. The intersection of a line segment's midpoint with a perpendicular bisector. It can be built with a compass and a ruler. On both sides of the line segment being divided, it forms a 90° angle.

The perpendicular bisector seems to be a mathematical construct that is being explored along with its creation in this article. We'll also look at the perpendicular bisector of a triangle and its properties. We will solve some few cases at the end to help you understand the subject better.

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Related Questions

I need help with decimals asap 100 points

need help fast

Answers

Answer:

f. 8.0

g. 34.4

h. 83.8

i. 121

j. 35.2

Step-by-step explanation:

f. 4.1 + 3.9 = 8.0

g. 23.1 + 7.6 + 3.7 = 34.4

h. 53.2 + 3.1 + 27.5 = 83.8

i. 11.1 + 17.3 + 92.6 = 121

j. 24.1 + 7.9 + 3.1 = 35.2

What is the solution to the equation below? 4+square root of x =10

Answers

X is equal to 36 …………….

Help asap! 45 pts!

What is the third reason in the angle proof?

Answers

∠2≅∠3 because ∠1≅∠2 and ∠1≅∠3. Hence proved.

Given that, AD bisects ∠BAC and ∠1≅∠3.

What is an angle bisector?

An angle bisector is defined as a ray, segment, or line that divides a given angle into two angles of equal measure. The word bisector or bisection means dividing one thing into two equal parts.

Since AD bisects ∠BAC, ∠BAD=∠DAC.

That is ∠1≅∠2 (AD bisects ∠BAC into two equal angles)

Since ∠1≅∠2 and ∠1≅∠3 (given)

We get, ∠2≅∠3

∠2≅∠3 because ∠1≅∠2 and ∠1≅∠3. Hence proved.

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I dont understand how to do this.

Answers

Triangle ABD = Triangle CBD so Angle ADB = Angle CDB
So
7x=49
x=7

What type of evidence is needed for a hypothesis to be supported or not supported.

Answers

Observational Evidence type of evidence is needed for a hypothesis to be supported or not supported.

Hypothesis:

Hypothesis is a statement which can be proved or disproved. It is a statement capable of being tested. Based on the results of the test case, we have identified the type of it.

Given,

Here we needed to find the type of evidence is needed for a hypothesis to be supported or not supported.

Observational Evidence type of evidence is needed for a hypothesis to be supported or not supported.

Observational evidence is ones where researchers observe the effect of a risk factor, diagnostic test, treatment or other intervention without trying to change who is or isn't exposed to it.

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A = 1/4 0b^3c
need this rn algebra 1 will give a lot of points

Answers

Answer: c=[tex]\frac{4A}{b^3}[/tex]

Step-by-step explanation:

A = 1/4b^3c

A*4=4*1/4b^3c

4A=4/4b^3c

4A=b^3c

c=4A/b^3

c=[tex]\frac{4A}{b^3}[/tex]

The Nile river is 4,160 miles long.the Amazon river is 25/26 as long as the Nile river.how long is the Amazon river

Answers

Step-by-step explanation:

Multiple the ratio by Nile river distance

a student records the repair cost for 1717 randomly selected tvs. a sample mean of $73.10$⁢73.10 and standard deviation of $16.01$⁢16.01 are subsequently computed. determine the 90�% confidence interval for the mean repair cost for the tvs. assume the population is approximately normal.

Answers

Therefore, the 90% confidence interval for the mean repair cost for the VCRs is ($82.40,$90.12).

What do you mean by the term Repair cost?

Subject to the exclusions outlined in this clause, the repair cost is defined as the cost of the parts and labor required to fix or replace any covered component as a result of a covered mechanical breakdown. We reserve the right to substitute components of comparable sort and quality, whether they are new, OEM, swapped, rebuilt, remanufactured, or used. The suggested retail price of a part of a like type and quality, or the manufacturer's indicated retail price for Your Vehicle, whichever is higher, may not be exceeded when pricing out parts. A current, widely used flat-rate labor guide will be used to calculate labor costs. According to state-specific rules, the Repair Cost includes the necessary taxes related to the covered Mechanical Breakdown.

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you would like to investigate whether smokers are more likely than nonsmokers to get lung cancer. you take the students in your class, select half at random and tell them to smoke a pack of cigarettes each day, and you tell the other half not to ever smoke. fifty years from now, you will analyze whether more smokers than nonsmokers got lung cancer. is this an experiment or an observational study? experiment observational study summarize at least three practical difficulties with this planned study.

Answers

The following given task is an experiment.

What do we mean by an experiment?An experiment is a procedure that is carried out to support or refute a hypothesis, or to determine the efficacy or likelihood of something that has never been tried before. Experiments shed light on cause-and-effect relationships by demonstrating what happens when a specific factor is changed. Experiments vary greatly in goal and scale, but they all rely on repeatable procedures and logical results analysis. Natural experimental studies are also available.

So,

The following given task is an experiment.

Telling someone to start smoking a pack of cigarettes every day endangers their health. The other half, who are told not to smoke, may do so at their leisure. In the end, it will be difficult to track who smoked and who did not over the course of 50 years, and whether they did so consistently.

Therefore, the following assignment is an experiment.

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5x+3-2x=7x+3 sometimes always never

Answers

The true statement is sometimes true

How to determine the true statement?

The equation is  given as

5x + 3 - 2x = 7x + 3

Evaluate the like terms on each side of the equation

So, we have

3x + 3 = 7x + 3

Evaluate the like terms on both sides

4x = 0

Divide both sides by 4

x = 0

This means that the equation is only true when x = 0

Hence, the true statement is sometimes true

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f(x) = (½)x + 3

Rate of change ?

End behavior?

Answers

The rate of change is 1/2.

the end behavior of the function is:

as x → ∞, f(x) → ∞

as x → -∞, f(x) → -∞

What is the rate of change?

Here we have a simple linear function:

y = (1/2)*x + 3

Remember that for a general linear function we have:

y = a*x + b

Where a is the rate of change and b is the y-intercept.

Then comparing our function with the general one, we can see that the rate of change is 1/2.

Now, because the rate of change is positive, we can see that when x tends to infinity the function also tends to infinity.

And when x tends to negative infinity also does f(x).

Then the end behavior of the function is:

as x → ∞, f(x) → ∞

as x → -∞, f(x) → -∞

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(2.3 x 105)(1.5 x 104) in scientific notation plssss ASAP

Answers

By using scientific notation we calculated (2.3[tex]\times[/tex]10⁵)(1.5 [tex]\times[/tex]10⁴) we got 345 [tex]\times[/tex]10⁷.

Given that,

(2.3[tex]\times[/tex]10⁵)(1.5 [tex]\times[/tex]10⁴)

By using scientific notation

The scientific notation allows us to express extremely large or extremely small numbers by multiplying them by single-digit integers and by 10 raised to the power of the corresponding exponent. The exponent is either positive or negative depending on how big or little the number is.

Now, we calculate

(2.3[tex]\times[/tex]10⁵)=2.5[tex]\times[/tex]100000=230000

(1.5 [tex]\times[/tex]10⁴)=1.5[tex]\times[/tex]10000=15000

Now,

=230000[tex]\times[/tex]15000

=3450000000

=345 [tex]\times[/tex]10⁷

Therefore, By using scientific notation we calculated (2.3[tex]\times[/tex]10⁵)(1.5 [tex]\times[/tex]10⁴) we got 345 [tex]\times[/tex]10⁷.

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Drag and drop the range of each data set into the boxes

Answers

The range of data set 1 is 20 and the range of data set 2 is 25.

From the given figure, the observations in data set 1 are 20, 25, 25, 25, 30, 30, 30, 35, 35 and 40.

The observations in data set 2 are 35, 40, 40, 45, 45, 45, 50, 50, 55 and 60.

What is the range?

In statistics, the range of a set of data is the difference between the largest and smallest values, the result of subtracting the sample maximum and minimum. It is expressed in the same units as the data.

From data set 1:

Highest observation = 40 and lowest observation = 20.

So, range = 40-20=20

From data set 2:

Highest observation = 60 and lowest observation = 35.

So, range = 60-35=25

Therefore, the range of data set 1 is 20 and the range of data set 2 is 25.

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Find the distance between the pair of points. Round to the nearest tenth, if necessary. (-4,-5) (0,5)

Answers

The distance between the two points ( − 4 , - 5 ) and ( 0 , 5 ) is 10 units.

We are given the two points:

( − 4 , - 5 ) and ( 0 , 5 )

We need to find the distance between the two points.

The formula for distance is given as:

Distance = √ (x₂ - x₁)² + (y₂ - y₁)²

Substituting the values, we get that:

Distance = √ ( 0  + 4 )² + ( 5 + 5)²

Distance = √ ( 4 )² + ( 10 )²

Distance = √ 16 + 100

Distance = √ 116

Distance = 2 √29 units.

Therefore, we get that, the distance between the two points ( − 4 , - 5 ) and ( 0 , 5 ) is 2 √29 units.

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Which letter is at position (1, 3)?
OA. S
OB. M
OC. U
OD. N

Answers

Answer:

u has position brobjdidiodd

In a survey of 232 professional athletes, it was found that 121 of them owned a convertible, 100 of them owned a giant screen tv, and 93 owned a sporting goods store. 18 owned a convertible and a store, 38 owned a tv and a store, and 54 owned a covertible and a tv. 5 owned all three items. how many athletes did not own any of the three items? how many owned a covertible and a tv, but not a store? how many athletes owned a convertible or a tv? how many athletes owned exactly one type of item in the survey? how many athletes owned at least one type of item in the survey? how many owned a tv or a store, but not a convertible?

Answers

In a survey of 232 professional athletes, 23 athletes do not own any of the three items. 49 owns a convertible and a tv, but not a store. 163 athletes owns a convertible or a tv. 109 athletes owns exactly one type of item in the survey. 209 athletes owns at least one type of item in the survey. 55 owns a tv or a store, but not a convertible.

Using Venn diagram, a diagram used to present the relationship between sets in a logical form, we analyze the given information.

athletes who do not own any of the three items = 232 - (121 + 100 + 93) +(54 + 38 + 18) - 5 = 23

athletes who owns a convertible and a tv, but not a store = 54 - 5 = 49

athletes who owns a convertible or a tv = (121 + 93) - (18 + 38 - 5) = 163

athletes who owns exactly one type of item in the survey = (121 - 54 - 18 + 5) + (100 - 38 - 54 + 5) + (93 - 18 - 38 + 5) = 109

athletes who owns at least one type of item in the survey = 121 + 100 + 93 - 54 - 38 - 18 + 5 = 209

athletes who owns a tv or a store, but not a convertible = (100 - 54 -38 + 5) + (93 - 18 - 38 + 5) = 55

See attached photo for reference.

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Marko can bike at an average speed of 534 minutes per mile. He bikes at this speed for 8614 minutes.

How many miles does Marko bike?

Answers

Answer:

Marko bikes approximately 16.13 miles.
A very slow rate.

Step-by-step explanation:

average speed = 534 minutes per mile

time taken = 8614

d = t/s

distance = 8614 / 534

= 16.13 miles

determine whether the data described are discrete or continuous. relative humidity levels in operating rooms at local hospitals.

Answers

The data for relative humidity levels in operating rooms at local hospitals must be continuous.

For given question,

Continuous data is a type of numerical data that refers to the unspecified number of possible measurements between two points.

These numbers are not always clean and tidy like those in discrete data, as they're usually collected from precise measurements.

Variables in these data sets often carry decimal points.

When values in a data set are countable and can only take certain values, it is called discrete data.

In this question,

we need to find the type of data for relative humidity levels in operating rooms at local hospitals.

The data records of relative humidity levels carry decimal points.

Therefore, the data for relative humidity levels in operating rooms at local hospitals must be continuous.

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how do I turn this into an equation to solve for x

Answers

To solve the for x the equation will be   3x° = 80° - x° and the value of x is 20°.

When two or more lines meet at a common point it is known as  intersecting lines.

According to the question we have been given that there are two lines who are intersection at a point. And we have been given measure of two angles.

Let the first angle be given as ∠A and the second angle be given as ∠B.

The measure of angles given to us are :

   ∠A = 3x°  and  ∠B = (80 - x)°

We know that when two lines intersect then the vertically opposite angles are equal, that is

              ∠A = ∠B

Putting the required values we get

            3x° = 80° - x°

            4x° = 80°

              x = 20°

Hence the value of x = 20°. Thus the measure of ∠A = 60°  and ∠B = 60°

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How many lengths of wire, each are 3 7/8 inches long , can be cut from a 25ft roll?

Answers

Number of [tex]3\frac{7}{8}[/tex] inches length wire that can be cut from 25ft roll is 77

Given,

The total length of the roll =25 foot

Length of each wire = [tex]3\frac{7}{8}[/tex] inches

First we have to convert mixed fraction to simple fraction

[tex]3\frac{7}{8}=\frac{31}{8}[/tex] inches

Convert foot to inches

25 foot = 25×12 =300 inches

Number of [tex]3\frac{7}{8}[/tex] inches length wire that can be cut from 25ft roll = Total length of the roll/ Length of each wire

=300÷[tex]\frac{31}{8}[/tex]

=77.41

≈77

Hence, the number of [tex]3\frac{7}{8}[/tex] inches length wire that can be cut from 25ft roll is 77

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Nathan and Steven stacked boxes on a shelf. Nathan lifted 13 boxes and Steven lifted 15 boxes. The boxes that Nathan lifted each weighed 12 lb more than the boxes Steven lifted.

Let s represent the weight of the boxes that Steven lifted.

Which expression represents the total number of pounds Nathan lifted?

A. s + 12

B. 15(s+12)

C. 12(s+13)

D. 13(s+12)

Answers

Answer:

we assume the two boys lifted the same amount of weight of boxes. Let s be the weight of the boxes Steven lifted. Hence,

Step-by-step explanation:

13 ( s+12) = 15 s

where s + 12 means that the box lifted by Nathan weighed 12 more than that of Steven.

we solve,

s = 78 pounds

such that Nathan's is 90 pounds.

Evaluate the expression 11-8 on top and on bottom is 1+7•2

Answers

Answer:

1/5

Step-by-step explanation:

because 3/15

Hey there!

(11 - 8)/(1 + 7 * 2)

= (3)/(1 + 14)

= 3/15

≈ 3 ÷ 3 / 15 ÷ 3

≈ 1/5

≈ 0.2


Therefore, your answer should be:

1/5 or 3/15


Good luck on your assignment & enjoy your day!


~Amphitrite1040:)

Name a point that is collinear with the given points.

Answers

Answer: Three or more points that lie on the same line are called collinear point.

Example : the points A, B and C lie on the line m. They are collinear

Step-by-step explanation: i really hope this helps somehow  (: btw lmk if i am wrong

Given AB where A (3,4) and B (-1,-2), translate left 2 and up 1, then rotate 90 degrees clockwise about the point C(1,3). Graph and list the coordinates of A"B"

pls help urgently!!!!

Answers

The coordinates of the ends of the line segment A''B'' are A''(x, y) = (3, 3) and B''(x, y) = (- 1, 7), respectively. The graph of the line segment is attached aside.

What are the coordinates of the image of a line segment?

In this problem we must find the coordinates of a new line segment, generated after making translations and rotation, two kinds of rigid transformations. First, determine the coordinates of the ends of the line segments by translation formula:

A'(x, y) = (3, 4) + (- 2, 1)

A'(x, y) = (1, 5)

B'(x, y) = (- 1, - 2) + (- 2, 1)

B'(x, y) = (- 3, 1)

Second, determine the coordinates of the ends of the line segment by using the rotation formula:

A''(x, y) = O(x, y) + ((A'x - Ox) · cos θ - (A'y - Oy) · sin θ, (A'x - Ox) · sin θ + (A'y - Oy) · cos θ)

A''(x, y) = (1, 3) + ((1 - 1) · cos (- 90°) - (5 - 3) · sin (- 90°), (1 - 1) · sin (- 90°) + (5 - 3) · cos (- 90))

A''(x, y) = (1, 3) + (2, 0)

A''(x, y) = (3, 3)

B''(x, y) = O(x, y) + ((B'x - Ox) · cos θ - (B'y - Oy) · sin θ, (B'x - Ox) · sin θ + (B'y - Oy) · cos θ)

B''(x, y) = (1, 3) + ((- 3 - 1) · cos (- 90°) - (1 - 3) · sin (- 90°), (- 3 - 1) · sin (- 90°) + (1 - 3) · cos (- 90))

B''(x, y) = (1, 3) + (- 2, 4)

B''(x, y) = (- 1, 7)

The coordinates of the ends of the line segment A''B'' are A''(x, y) = (3, 3) and B''(x, y) = (- 1, 7), respectively. The graph of the line segment is attached aside.

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Find the exact solution of x.
X²=16
X=4
No solution
X=_+4
X=-4

Answers

Answer:

(-4, 4)

Step-by-step explanation:

x can be either negative 4 or positive 4.  A negative number squared is a negative number times a negative number, which will be a positive number.

Find a polynomial function with leading coefficient 1 that has the given zeros, multiplicities, and degree. zero: 1, multiplicity: 2 zero: 2, multiplicity: 2 degree: 4

Answers

Polynomial expression for the given  conditions is formulated in the equation

y(x)=1*(x-2)^3(x-0)^2

The polynomial for the conditions with leading coefficient 1 that has the given zeros, multiplicities, and degree. Zero: 2, multiplicity: 3 Zero: 0, multiplicity: 2 Degree: 5 is given as

According to the given condition

The given conditions to write the polynomial equations are as follows

Zero 2  and Multiplicity 3

Zero 0 and Multiplicity 2  

Degree of polynomial expression  = 5

The leading coefficient of polynomial expression = 1

Let us consider the polynomial equation has only one variable and hence in the general form we can write the equation of polynomial as follows

From the general form of polynomial expression as shown in equation (1) we can write

Polynomial expression for the given  conditions is formulated in the equation

y(x)=1*(x-2)^3(x)^2-------(2)

So the polynomial for the conditions given in the question is expressed as

y(x)=1*(x-2)^3(x)^2

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A 20-pound bag of fertilizer costs $19.60. What is the cost per pound?

Answers

Answer:

563$ and me for some change

Step-by-step explanation:

$0.98 per pound because of you divide $19.60 by 20 you get the answer of 0.98

Tammy earns 51 dollars per week working part time at a book store. She makes one dollar more for each book that she sells. The amount, A(in dollars), that Tammy earns in a week If she sells b books is given by the following function A(b)= 51+bHow much does Tammy earn in a week if she sells books?

Answers

50 hours after work hours for a month of work hours after your home can be ready at home to be ready at home for you

Becky feeds her cat 55 g of cat food per day. About how many ounces of cat food will she feed her cat in 4 weeks? {1 oz ≈ 28.3 g}



13.6 oz


54.4 oz


1.9 oz


220 oz

Answers

The ounces of cat food she will feed her cat in 4 weeks is 54.4 oz

How to determine the number of feet?

The given parameters are

1 oz = 28.3 g

1 day = 55 g

For 4 weeks, the amount would be

1 * 7 * 4 days = 55 g * 4

So, we have

28 days = 1540 g

Rewrite as

4 weeks =1540 g

Recall that 1 oz = 28.3 g

So, we have:

4 weeks = 54.4 oz

Hence, the ounces of cat food will she feed her cat in 4 weeks is 54.4 oz

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Solve the equation for the red variable.
please help :(

Answers

Answer:

V = [tex]\frac{Bh}{3}[/tex]

Step-by-step explanation:

B = 3 × [tex]\frac{V}{h}[/tex] ( multiply both sides by h to clear the fraction )

Bh = 3V ( divide both sides by 3 )

[tex]\frac{Bh}{3}[/tex] = V

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