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alisha [4.7K]
3 years ago
15

Triangle DEF is rotated 180 degrees about the origin to form triangle D'E'F'.What are the coordinates of the vertices of triangl

e D'E'F'?
D' (–1, –4); E'(–2, –1); F'(–1, –5)

D' (4, 1); E'(1, 2); F'(5, 1)

D' (1, –4); E'(2, –1); F'(5, –1)

D' (4, –1); E'(1, –2); F'(1, –5)

Mathematics
1 answer:
kvv77 [185]3 years ago
8 0

Answer:

D

Step-by-step explanation:

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So first game
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4 years ago
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pav-90 [236]

Answer:

\sqrt{13} units

Step-by-step explanation:

The distance formula is d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} where d is the distance between points (x_1,y_1) and (x_2,y_2). Let (x_1,y_1)\rightarrow(5,1) and (x_2,y_2)\rightarrow(3,4), thus:

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\d=\sqrt{(3-5)^2+(4-1)^2}\\\\d=\sqrt{(-2)^2+(3)^2}\\\\d=\sqrt{4+9}\\\\d=\sqrt{13}

Therefore, the distance between points P(5,1) and Q(3,4) is \sqrt{13} units.

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47% of the company's monthly income is used to pay the owner's personal salary. If the amount of the owner's salary is $2176.10,
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You have to set up a ratio between the owner's income and the total income so 

<u>47</u>   =  <u>2176.10</u>
53           x 

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47x = 115333.30

then divide each side by 47

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