Given that XW bisects AXZ, what theorem or theorems could be used to justify that W is equidistant from the two outside rays?

Given That XW Bisects AXZ, What Theorem Or Theorems Could Be Used To Justify That W Is Equidistant From

Answers

Answer 1

Answer:

  HA congruence postulate

Step-by-step explanation:

In order to show W is equidistant from A and Z, we must demonstrate that WA ≅ WZ. The HA congruence postulate can be used for that purpose.

__

proof

WX bisects AXZ, so ∠WXA≅∠WXZ by the definition of an angle bisector. By the reflexive property of congruence, WX≅WX. The angles at A and Z are given as right angles.

So, we have triangles WAX and WZX that are right triangles with congruent hypotenuse and corresponding angle. These are the preconditions for the application of the HA congruence postulate. That postulate says the triangles WAX and WZX are congruent, so ...

WA ≅ WZ by CPCTC. Hence W is equidistant from the outside rays.

__

Additional comment

The definition of distance from a point to a line is the perpendicular distance from the point to the line. In this geometry, the perpendicular distances from W to the outside rays are the lengths of segments WA and WZ. That is why we need to show those lengths are the same.


Related Questions

help me on this question. If l || m, m7 = 2x and m2 = x, then what is the measure of angle 2?

Answers

Answer:

i dont know bc its not the complete expression

Step-by-step explanation:

Ninety members of a gym were asked whether or not they use a treadmill when they exercise and whether or not they lift weights when they exercise.

The results of the poll are as follows:
14 members do not use a treadmill or lift weights
31 members use a treadmill but do not lift weights
28 members lift weights but do not use a treadmill
17 members use a treadmill and lift weights
Which two-way table represents the information found in the poll?

Answers

The answer is Y

Step-by-step explanation:

You have to compare the numbers with conditions both in Rows and Columns.

CORRECT ANSWER GETS BRAINLIST

Philani bough a scooter for R15 000. He paid 15% of the amount in cash and sgned a hire-purchase agreement to pay the balance in 24 equal monthly instalments. The interest rate is 10% per annum.
How much did he pay in cash?

Calculate the total amount that he must still pay.​

Answers

If philani buys a scooter for 15,000 and wants to pay 15% down then he must pay 2,250. After this they will still need to pay 12,750 to pay of the scooter, but after the 10% annually (for two years) then they will owe 15,750 for the scooter rather than 12,750. Hope this helps!

The regular price of a tennis racquet is $79.99 and the sale price is $64.99. Find the percent of discount to the nearest whole percent.

Answers

Step-by-step explanation:

$79.99 - $64.99 = $15

(79.99 - 64.99)/|79.99| =15

15/79.99 =

15 ÷ 79.99 =

15 ÷ 79.99 × 100/100 =

(15 × 100 ÷ 79.99)/100 =

(1,500 ÷ 79.99)/100

≈18.752344043005/100 =

18.752344043005% ≈18.75%;

i need the answer quickly

Answers

Answer:

scatter plot 3

Step-by-step explanation:

No correlation exists when there is no relationship between two variables. For example there is no relationship between the x-axis to the y-axis while the other plots has noticeable linear correlation.

Anyone know the answer?
James is using cement to make a new sidewalk and new steps.

He will make a new rectangular sidewalk that is 8 feet long, 4 feet wide, and 0.25 foot thick.
What is the volume, in cubic feet, of the cement used to make the sidewalk? Show or explain all of the steps you used to determine your answer.
Enter answer, including explanation, here

Answers

The volume, in cubic feet, of the cement used to make the sidewalk is 8 cu.ft.

What is a Cuboid ?

A cuboid is a three dimensional figure with six rectangular faces .

The  volume of the cuboid is given by

V = length * breadth * height

It is given in the question that

a new rectangular sidewalk that is 8 feet long, 4 feet wide, and 0.25 foot thick , this will be in the shape of a cuboid

The volume of cement required = 8 * 4 * 0.25

= 8 cu.ft

The volume, in cubic feet, of the cement used to make the sidewalk is 8 cu.ft.

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Patty had four times as many quarters as nickels. She had $12.60 in all. How many nickels and
she have?

Answers

Answer:

Hi,

Step-by-step explanation:

Let say n the number of nickels

4*n the number of quaters.

Let's calculate in cents:

n*5+4*n*25=1260

5n+100n=1260

105*n=1260

n=12 (number of nickels)

4n=48 (number of quaters)

Proof: 12*5+48*25=1260

Answer is equation B

Pleaseeee!
I need help evaluating this:


Tan 2 theta-(1-tan^ 2 )=?​

Answers

Answer:

[tex]\tan \left(2\theta\right)-1+\tan ^2\left(\theta\right)[/tex]

Key:

[tex]-\left(a-b\right)=-a+b[/tex]

Step-by-step explanation:

[tex]\tan \left(2\theta\right)-\left(1-\tan ^2\left(\theta\right)\right)[/tex]

[tex]-\left(1-\tan ^2\left(\theta\right)\right)=-1+\tan ^2\left(\theta\right)[/tex]

[tex]=\tan \left(2\theta\right)-1+\tan ^2\left(\theta\right)[/tex]

3.991 nearest one hundred answer

Answers

[tex]\huge\purple{hi!}[/tex]

3.991 nearest one hundred is 3.99

The answer wood be 3.99

Since 1 is closer to 0 you round down and it is 3.99

what is an equation for the circle with center 92,40 and radius 7

Answers

Answer:

17 i think im like 30 pecent sure

3.3.1. Calculate the new cost per night of the standard and family standard chalets. Round of (4) your answer to the nearest hundred. 3.3.2. Calculate the percentage increase that Pule proposes for the Luxe suite. Use the following formula: Percentage Difference Original 1 x 100% (3) 3.4. Pule decides to run a special on the Family standard chalet. He will charge: R4 000 per night but will decrease the amount by R100 per person occupying the chalet. 3.4.1. Use the information above to complete the table below: Number of 1 2 3 4 5 8 9 10 people(c) 4 000 3 900 Cost per night (R) (n) (3) 3.4.2. Write an equation that shows the relationship between the cost per night C and the number of people staying in the chalet n. (3) 3.4.3. The graph below shows the cost of renting the family standard chalet at the usual rat On the same set of axes, draw the graph that represents renting the chalet at the spe rate. (Remember to include all missing graph elements). (4)​

Answers

The information to complete the table is given below:Equation that shows the relationship between the cost per night C and the number of people staying in the chalet n:                              C=  4000-100(n-1)

What is Equation?

An equation is a mathematical expression that contains an equals symbol. Equations often contain algebra. Algebra is used in math when you do not know the exact number in a calculation.

Given that:

Pules Rs 4000 per night but will decrease the amount by R100 per person occupying the chalet.

Number of People          Cost per night

          1                                       4000

          2                                       3900

          3                                      3800

          4                                       3700

          5                                       3600

          6                                       3500

          7                                       3400

          8                                       3300

          9                                       3200

          10                                      3100

let C be cost per night and n be the number of people of staying in chalet.

equation:   C=  4000-100(n-1)

      for n=1: C= 4000- 0=4000

            n=2, C= 4000-100(1)= 3900

The graph is attached below:

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On a test that has a normal distribution, a score of 30 falls three standard deviations below the mean, and a score of 60 falls three standard deviations above the mean. Determine the mean of this test.

Answers

Answer:

45

Step-by-step explanation:

Let μ - mean, σ - standard deviation.

Given:

A score of 30 falls three standard deviations below the mean:

μ - 3σ = 30

A score of 60 falls three standard deviations above the mean:

μ + 3σ = 60

Add up the two expressions and find the value of μ:

μ - 3σ + μ + 3σ = 30 + 602μ = 90μ = 45

The mean is 45

Please answer its iready press the image below.
30 points btw

Answers

Answer:

alternate exterior angles

Step-by-step explanation:

<3 i hope this helps! sorry if it doesnt :)

need rn. worth 30.

A librarian wants to have an employee reading contest. She asks her employees to volunteer to read as many books as possible in one week.

Which sentences explain how randomization is not applied in this situation?

Answers

Considering the situation described, the confidence interval is given by:

(0.35, 0.51).

What is a confidence interval?

It is given by the estimate plus/minus the margin of error.

For this problem, we have that:

The estimate is of 0.43.The margin of error is half the range of the observations, hence M = (0.48 - 0.32)/2 = 0.08.

Then, the bounds of the interval are given by:

0.43 - 0.08 = 0.35.0.43 + 0.08 = 0.51.

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Which polynomial is equal to the sum of polynomials 1 and 2?
Polynomials 1 and 2 are represented below with tiles.
Polynomial 1
X²X²

Polynomial 2
A. 2x²+2x+1
OB. 5x² + 4x+6
OC. 7x² +6x+7
OD. 7x² +6x+5
SUBMIT

Answers

Polynomial are mathematical expressions involving variables raised with non-negative integers and coefficients. The correct option is C.

What is a polynomial?

Polynomial are mathematical expressions involving variables raised with non-negative integers and coefficients(constants who are in multiplication with those variables) and constants with only operations of addition, subtraction, multiplication and non-negative exponentiation of variables involved.

Example:

 x² + 3x + 5

As per the given tile diagram, the first polynomial is,

First polynomial = 5x² + 4x + 6

The second polynomial equal is,

Second polynomial = 2x² + 2x + 1

Now, the sum of the two polynomial can be written as,

Sum = 5x² + 4x + 6 + 2x² + 2x + 1

        = 7x² + 6x + 7

Hence, the correct option is C.

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Find the measure of angle F if angle D = 88°

Answers

Answer:

52

Step-by-step explanation:

Two triangles are similar

m<B = m<E

m<C = m<D

m<A = m<F

now, the sum of interior angles in a triangle is equal to 180

angle B is given as 40 (so angle E is also 40) and angle D is given as 88 to find m<F:

40 + 88 + m<F = 180 add like terms

128 + m<F = 180 subtract 128 from both sides

m<F = 52

14 + w is the same as which expression?
A
14w

B
14 - w

C
w + 14

D
w - 14

Answers

Answer:

C

Step-by-step explanation:

14 + w is the same as w + 14

Answer:

C.  w + 14.

Step-by-step explanation:

The order does not matter when you are adding terms.

this is called the Commutative Property of Addition.

Write an equation in slope intercept form of the line that passes through the point (0,4) with slope 2

Answers

Answer:

y=2x+4

Step-by-step explanation:

Slope=m=2

From(0,4)

y intercept=b=4

Equation in slope intercept form

y=mx+by=2x+4

The mean of a set of 10 number is 56,
If the mean of the first nine is 55 find the 10th number

Answers

Answer:

65

Step-by-step explanation:

10*56=5609*55=495560-495=65=65

Are the equations 6x-6=3x and x-1=3x equivalent?​

Answers

Answer:

No, they aren't the same (equivalent).

Step-by-step explanation:

First, solve for both equations:

Equation #1:  6x-6=3x

Simplifying

6x + -6 = 3x

Reorder the terms:

-6 + 6x = 3x

Solving

-6 + 6x = 3x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-3x' to each side of the equation.

-6 + 6x + -3x = 3x + -3x

Combine like terms: 6x + -3x = 3x

-6 + 3x = 3x + -3x

Combine like terms: 3x + -3x = 0

-6 + 3x = 0

Add '6' to each side of the equation.

-6 + 6 + 3x = 0 + 6

Combine like terms: -6 + 6 = 0

0 + 3x = 0 + 6

3x = 0 + 6

Combine like terms: 0 + 6 = 6

3x = 6

Divide each side by '3'.

x = 2

Simplifying

x = 2

Equation #2: x-1=3x

Simplifying

x + -1 = 3x

Reorder the terms:

-1 + x = 3x

Solving

-1 + x = 3x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-3x' to each side of the equation.

-1 + x + -3x = 3x + -3x

Combine like terms: x + -3x = -2x

-1 + -2x = 3x + -3x

Combine like terms: 3x + -3x = 0

-1 + -2x = 0

Add '1' to each side of the equation.

-1 + 1 + -2x = 0 + 1

Combine like terms: -1 + 1 = 0

0 + -2x = 0 + 1

-2x = 0 + 1

Combine like terms: 0 + 1 = 1

-2x = 1

Divide each side by '-2'.

x = -0.5

Simplifying

x = -0.5

The figure below shows a line graph and two shaded triangles that are similar:
Which statement about the slope of the line is true? (1 point)

It is fraction negative 1 over 3 throughout the line.
It is −3 throughout the line.
The slope from point O to point A is one-third times the slope of the line from point A to point B.
The slope from point O to point A is three times the slope of the line from point A to point B.

Answers

Answer: A

Step-by-step explanation: took the test, got it right.

I need help please question is in the image

Answers

im pretty sure that it’s 700

1
Use f(x) = ½ x and ƒ˜¹(x) = 2x to solve the problems.
f(2)=
f¹1)=[
f(f(2)) =

Answers

Answer:

f(2) = 1

(1) = 2

(f(2)) = 2

Step-by-step explanation:

f(x) = x

(x) = 2x

f(2) = (2)

f(2) = 1

(1) = 2(1)

(1) = 2

(f(2)) = 2((2))

(f(2)) = 2(1)

(f(2)) = 2

The function's solution is given as follows:

f(1) = 2

f(f(2)) = f(1) = f(1) = 1/2

What is a function?

A function is a mathematical formula that illustrates the relationship between the dependent and independent variables.

The independent variable's value and the dependent variable's value both change in the function.

Mathematical expression is defined as the relationship between numerical variables and mathematical operations such as addition, subtraction, multiplication, and division.

For the given function [tex]f(x) = \dfrac{1}{2}x[/tex],

[tex]f(2) =\dfrac{1}{2} (2) = 1[/tex]

For the given function [tex]f^{-1}(x) = 2x[/tex],

[tex]f'(1) = 2(1) = 2[/tex]

Therefore, the solution for the function is [tex]f^{1}(1) = f^{-1}(1) = 2[/tex]

The composition of functions to find f(f(2)):

[tex]f(f(2)) = f(1) = \dfrac{1}{2} (1) = \dfrac{1}{2}[/tex]

Therefore, the solution for the function [tex]f(f(2)) = \dfrac{1}{2}[/tex].

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a water tap fills a tank within 4 hours, at the bottom of the tank
there is a hole for empty. the tank takes one hour to be empty. If the tap and the hole
are turning on together, the tank is fully filled. how long will the tank take to be completely
empty?
(70 min, 80 min, 90 min, 100 min)

Answers

Let V be the volume of the tank. The tap fills the tank at a rate of V/(4 hours), or V/4 per hour. The hole empties the tank at a rate of V per hour. If both the tap and hole work together, the net rate of water flow is V/4 - V or -3V/4 per hour.

Starting with a full tank, the volume v of water at time t is given by the function

v(t) = V + (-3V/4) t

Solve v(t) = 0 to find the time it takes to empty:

V - 3V/4 t = 0

V = 3V/4 t

t = V / (3V/4) = 4/3

So it takes 4/3 hours = 80 minutes to empty a full tank.

answer please image is below 35 points btw

Answers

Vertical angles not sure for the second one

HELP ME PLEASE!!!









.................................................

Answers

Answer:

Step-by-step explanation:

Answer:11

Explanation: find the hypotenuse of the 1st triangle a^2 + b^2 = c^2 -> 9*9 + 5*5 = c^2
Which is 81+25 = c^2 -> 106 = c^2 now square root c = 10.3

Now you have the hypotenuse of the triangle on the left notice that the hypotenuse we just solved for is actually a leg for the triangle on the right. Now you can use the hypotenuse formula for x.

10.3^2 + 4^2 = x^2 -> 106.09 + 16 = x^2
Next, 122.09 = x^2 now we need to square root to isolate the square (2). x = 11.04 when rounded the closest radical is you answer x=11

please help... Identify the shape of a cross section of the cone below. ​

Answers

Answer:

The vertical cross-section of a cone is a triangle, and the horizontal cross-section is a circle.

Step-by-step explanation:

Using the segment addition postulate, which is true?

Answers

The complete question is

"Using the segment addition postulate, which is true?

AB + BC = AD

AB + BC = CD

BC + CD = AD

BC + CD = BD"

Using the segment addition postulate, the true option is D; BC + CD = BD.

What is a line segment?

A line segment is a straight line with finite length, and thus, have to endpoints(points on either ends).

We have been given the number line and four points A, B, C, and D on the line with coordinates -6, -1, 2, and 8 respectively.

(a) L.H.S. = AB + BC = 5 + 3 = 8,

   R.H.S = AD = 14 ≠ 8.

So, this option is incorrect.

(b) L.H.S. = AB + BC = 5 + 3 = 8,

   R.H.S = CD = 6 ≠ 8.

So, this option is incorrect.

(c) L.H.S. = BC + CD = 3 + 6 = 9,

   R.H.S = AD = 14 ≠ 9.

So, this option is incorrect.

(d) L.H.S. = BC + CD = 3 + 6 = 9,

   R.H.S = BD = 9.

So, this option is correct.

Hence, the correct option is (d).

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The points E(- 4, 6), F(- 6, - 2), G(2, - 4) , and H(4, 4) form quadrilateral EFGH. Plot the points then click the "Graph Quadrilateral " button.

Answers

The slope of EF, FG, GH, and HE is 4, -1/4, 4, and -1/4 respectively. And the length of sides EF, FG, GH, and HE will be √68, √68, √68, and √68 units respectively.

What is coordinate geometry?

Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points, the dividing line is m:n ratio, finding the mid-point of the line, etc.

The points E(-4, 6), F(-6, -2), G(2, -4) , and H(4, 4) form quadrilateral EFGH.

Then the slopes are calculated below.

Slope of EF = (6 + 2)/(-4 + 6)

Slope of EF = 8/2

Slope of EF = 4

Slope of FG = (-4 + 2)/(2 + 6)

Slope of FG = -2/8

Slope of FG = -1/4

Slope of GH = (4 + 4)/(4 - 2)

Slope of GH = 8/2

Slope of GH = 4

Slope of HE = (6 - 4)/(-4 - 4)

Slope of HE = -2/8

Slope of HE = -1/4

Then the distance between the point will be

EF² = (-6 + 4)² + (-2 - 6)²

EF² = (-2)² + (-8)²

EF² = 4 + 64

EF = √68

FG² = (2 + 6)² + (-4 + 2)²

FG² = (8)² + (-2)²

FG² = 64 + 4

FG = √68

GH² = (4 - 2)² + (4 + 4)²

GH² = (2)² + (8)²

GH² = 4 + 64

GH = √68

FG² = (4 + 4)² + (4 - 6)²

FG² = (8)² + (-2)²

FG² = 64 + 4

FG = √68

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Solve: -1/2 + c = 31/4

(1/2 and 31/4 are fractions)

Answers

[tex]~~~-\dfrac 12 + c = \dfrac{31}4\\\\\\\implies c = \dfrac{31}{4}+\dfrac 12\\\\\\\implies c = \dfrac{31}{4}+ \dfrac 24\\\\\\\implies c = \dfrac{31+2}{4}\\\\\\\implies c = \dfrac{33}4[/tex]

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