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

[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]

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

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

Answer: A

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

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.

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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Answer:

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

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let μ - mean, σ - standard deviation.

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

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

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

The mean is 45

Answer:

65

Step-by-step explanation:

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%;

[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

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.

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.

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

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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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.

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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Answer:

17 i think im like 30 pecent sure

Answer:

i dont know bc its not the complete expression

Step-by-step explanation:

Answer:

Step-by-step explanation:

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

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

Answer:

alternate exterior angles

Step-by-step explanation:

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

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

(0.35, 0.51).

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

For this problem, we have that:

Then, the bounds of the interval are given by:

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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

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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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.

The answer is Y

Step-by-step explanation:

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

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

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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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]

Answer:

y=2x+4

Step-by-step explanation:

From(0,4)

Equation in slope intercept form