determine the measure of each segment then indicate whether the statements are true or false

Determine The Measure Of Each Segment Then Indicate Whether The Statements Are True Or False

Answers

Answer 1

Answer:

[tex]d_{AB}\ne d_{JK}[/tex]

[tex]d_{AB}\ne \:d_{GH}[/tex]

[tex]d_{GH}\ne \:d_{JK}[/tex]

Therefore,

Option (A) is false

Option (B) is false

Option (C) is false

Step-by-step explanation:

Considering the graph

Given the vertices of the segment AB

A(-4, 4)B(2, 5)

Finding the length of AB using the formula

[tex]d_{AB}\:=\:\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}[/tex]

        [tex]=\sqrt{\left(2-\left(-4\right)\right)^2+\left(5-4\right)^2}[/tex]

         [tex]=\sqrt{\left(2+4\right)^2+\left(5-4\right)^2}[/tex]

         [tex]=\sqrt{6^2+1}[/tex]

         [tex]=\sqrt{36+1}[/tex]

        [tex]=\sqrt{37}[/tex]

[tex]d_{AB}\:=\sqrt{37}[/tex]

[tex]d_{AB}=6.08[/tex] units        

Given the vertices of the segment JK

J(2, 2)K(7, 2)

From the graph, it is clear that the length of JK = 5 units

so

[tex]d_{JK}=5[/tex] units

Given the vertices of the segment GH

G(-5, -2)H(-2, -2)

Finding the length of GH using the formula

[tex]d_{GH}\:=\:\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}[/tex]

         [tex]=\sqrt{\left(-2-\left(-5\right)\right)^2+\left(-2-\left(-2\right)\right)^2}[/tex]

          [tex]=\sqrt{\left(5-2\right)^2+\left(2-2\right)^2}[/tex]

          [tex]=\sqrt{3^2+0}[/tex]

           [tex]=\sqrt{3^2}[/tex]

[tex]\mathrm{Apply\:radical\:rule\:}\sqrt[n]{a^n}=a,\:\quad \mathrm{\:assuming\:}a\ge 0[/tex]

[tex]d_{GH}\:=\:3[/tex] units

Thus, from the calculations, it is clear that:

[tex]d_{AB}=6.08[/tex]  

[tex]d_{JK}=5[/tex]

[tex]d_{GH}\:=\:3[/tex]

Thus,

[tex]d_{AB}\ne d_{JK}[/tex]

[tex]d_{AB}\ne \:d_{GH}[/tex]

[tex]d_{GH}\ne \:d_{JK}[/tex]

Therefore,

Option (A) is false

Option (B) is false

Option (C) is false


Related Questions

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Answers

Answer:

74% is greater

Explanation:

14/19 as a percent is 73%

74% > 73%

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Answers

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

The two shown sides would have to be and equal solved number.

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Answers

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Answer:

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Step-by-step explanation:

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Answers

Answer:

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the x intercept is -1.5

Step-by-step explanation:

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Answer:

it is most likely -2

Step-by-step explanation:

its hard to see the grid

If the triangles are congruent,
then x =
[?]
13
4x+1
2x+y
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Enter the number that belongs in
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Answers

Answer: x = 3

Explanation:
If the two triangle are congruent then all of their sides are also congruent.

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4x = 13 - 1
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x = 12/4 = 3
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What is the equation of the line that passes through the points (2,6) and (4, 10)?

Answers

Answer:

y=2x+2

Step-by-step explanation:

took a test and got it right

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x=64

PLEASE HURRY WILL GIVE BRAINLIEST!!!

Answers

Answer:

my answer is 2 . 3 I think

Drake gathers half of the money he had
saved up plus the $50 his father gave
him to buy a new scooter that costs
$125. Determine the amount okmoney
Drake has saved up.

Answers

Answer:

drake saved up $150

Step-by-step explanation:

Answer:

125- 50=75, 75+75=150 so he saved $150

if the expression (x + 5 )to the 6th is expanded what is the coefficient of the linear X term?​

Answers

Answer:

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Step-by-step explanation:

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Find the x and y Intercepts

Answers

Answer:

x-intercept(s): (3,0)

y-intercept(s): (0,−2)

Step-by-step explanation:

Answer:

x=3 and y=-2

Step-by-step explanation:

2x - 3y = 6

cancel out the y

2x - 3(0) = 6

2x = 6

divide both sides by 2

x = 3

2x - 3y = 6

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-3y = 6

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Answers

Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answers

Answer:

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answers

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The cost of cookies at store A are shown in the graph. The cost y for x cookies at store B is represented by the equation y=0.30x. Which of the following statements is true?

Answers

The relationship between the cost of cookies and the number of cookies is

a proportional relationship.

Correct response:

c. The cookies at store B cost moreMethod by which the above option is selected

The function of the given graph for the cost of cookies at store A is found as follows;

The graph is a straight line passing through the origin, therefore, the equation is of the form;

y = m·x

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15 points and BRAINLIEST John and his sister each bought a car in 2005. John's car cost $3,000 and is decreasing in value $150 per year. The value () of his sister's car x years after 2005 is given by
the function V(x) = 250x + 4,000. Which statement correctly compares the values of the cars from 2005 until 2017?

Answers

Answer:

C

Step-by-step explanation:

Mr. Rozario bought some apples and oranges. The ratio of the number of apples to the number of oranges are 2:5. He gave 3/4 of the apples to his sister and 34 oranges to his brother. The ratio of the number of oranges to the number of apples that he has now is 2:3.
How many apples did Mr. Rozario buy?
How many oranges did Mr. Rozario buy? Please help fastttttttt

Answers

Answer:

How many apples did Mr. Rozario buy?

16 apples

How many oranges did Mr. Rozario buy? 40 oranges

Step-by-step explanation:

From the question, we know that:

The ratio of the number of apples to the number of oranges are 2:5.

We represent the total number of fruits as x

Let

The number of apples he bought be represented as 2x

The number of oranges he bought be represented by

= 5x

He gave 3/4 of the apples to his sister and 34 oranges to his brother.

This means now, the number of apples he has left =1 - 3/4(2x) = 1/4(2x)

The number of oranges he has left = 5 - 34

The ratio of the number of oranges to the number of apples that he has now is 2:3.

1/4(2x) : 5x - 34 = 2:3

x/2:5x - 34 = 2:3

= x/2/5x-34 = 2/3

Cross Multiply

(x/2)3 = 5x - 34(2)

3x/2 = 10x - 68

Cross Multiply again

3x = 2(10x - 68)

3x = 20x - 136

20x - 3x = 126

17x = 126.

x = 126/17

x = 8

Hence:

The number of apples he bought be represented as 2x

So: 2 × 8 = 16 apples

The number of oranges he bought be represented by

= 5x

so: 5 × 8 = 40 oranges

Therefore, the number of Apples Mr Rosario bought is 16 apples

The number of oranges Mr Rosario bought is 40 oranges

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Answers

Answer:

x = 4

Step-by-step explanation:

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Answers

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Answers

Answer:

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Step-by-step explanation:

[tex]We\ are\ given\ that,\\C=2\pi r\\Hence,\\We\ now\ need\ to\ recreate\ this\ equation\ in\ terms\ of\ \pi,\\Hence,\\C=2\pi r\\\pi r =\frac{C}{2} [Transposing\ 2\ to\ the\ RHS]\\\pi =\frac{C}{2r}[Transposing\ r\ to\ the\ RHS]\\Hence,\\[/tex]

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Answers

Answer:

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Step-by-step explanation:

True

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Answers

Answer:

117-12.50=w

Step-by-step explanation:

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Answers

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Answers

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Answers

Answer:

5.76rad

Step-by-step explanation:

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Answer:

11pi/6

Step-by-step explanation:

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