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Find the value of x.

An image of a triangle PQR and its dilated image P prime Q prime R prime.

Question 24 options:

6


5



50/3


7

Find The Value Of X An Image Of A Triangle PQR And Its Dilated Image P Prime Q Prime R Prime Question 24 Options 6 5 503 7 class=

Sagot :

Answer:

x = 6

Step-by-step explanation:

The scale factor of the image is the ratio of corresponding sides, image to original.

scale factor = [tex]\frac{Q'R'}{QR}[/tex] = [tex]\frac{15}{9}[/tex] = [tex]\frac{5}{3}[/tex]

Then

[tex]\frac{P'R'}{PR}[/tex] = [tex]\frac{5}{3}[/tex] ( substitute values )

[tex]\frac{10}{x}[/tex] = [tex]\frac{5}{3}[/tex] ( cross multiply )

5x = 3 × 10 = 30 ( divide both sides by 5 )

x = [tex]\frac{30}{5}[/tex]

x = 6

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