triangle A'B'C is created by dilating triangle ABC by a scale factor of 4. what is the length of AB? The length of A'B'

Triangle A'B'C Is Created By Dilating Triangle ABC By A Scale Factor Of 4. What Is The Length Of AB?

Answers

Answer 1

Answer:

The length of AB is 20 units

Step-by-step explanation:

The given parameters from the graph for coordinates A and B are;

The coordinates of the point A = (1, 4)

The coordinates of the point B = (4, 8)

The length of segment AB is given by the equation for finding the distance, d between two points given their coordinates as follows;

[tex]d = \sqrt{\left (y_{2}-y_{1} \right )^{2}+\left (x_{2}-x_{1} \right )^{2}}[/tex]

Where;

(x₁, y₁) = (1, 4)

(x₂, y₂) = (4, 8)

Substituting gives;

[tex]d_{AB} = \sqrt{\left (8-4 \right )^{2}+\left (4-1 \right )^{2}} = \sqrt{25} = 5[/tex]

The length of [tex]\overline {AB}[/tex] = 5

Therefore, given that ΔA'B'C is created by dilating ΔABC by a scale factor of 4, the length of A'B' = 4 × The length of AB

Therefore, the length of [tex]\overline {A'B'}[/tex] = 4 × The length of [tex]\overline {AB}[/tex] = 4 × 5 = 20

The length of [tex]\overline {A'B'}[/tex] = 20 units.


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Answer:

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Step-by-step explanation:

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Answer:

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Answer:

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Step-by-step explanation:

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

Answer:

5

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Step-by-step explanation:


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Answers

Answer: $ 19.44

Step-by-step explanation:

Give : Original price of coloring book = $18

Sales tax = 8% =0.08 [we divide number by 100 to remove %]

Now , the final price of the Anime coloring book = Original price + (Original price) x (Sales tax)

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Answers

Answer: The length of JF = 16 units.

Step-by-step explanation:

Given: In triangle DEF, segment DJ is a perpendicular bisector of side EF.

i.e. DJ is perpendicular to EF and DJ divides EF into two equal parts EJ and JF. [The perpendicular bisector is a line that is perpendicular to a line segment and splits it into two congruent segments.]

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Answer:

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Answers

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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:

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

Answer:

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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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Step-by-step explanation:

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Step-by-step explanation:

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