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dem82 [27]
3 years ago
15

If the figure is rotated 270° counterclockwise about the origin, what is the length of segment N′P′?

Mathematics
1 answer:
kap26 [50]3 years ago
7 0

Answer:

Option (2)

Step-by-step explanation:

Since, rotation of any figure is a rigid transformation, side lengths and measure of angles of the image polygon after rotation will remain same.

NP = N'P'

Coordinates of N → (5, 9)

Coordinates of P → (7, 9)

Formula of distance between two points (x_1,y_1) and (x_2,y_2) is,

d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

By this formula length of NP = \sqrt{(7-5)^2+(9-9)^2}

                                               = 2 units

Therefore, Option (2) will be the correct option.

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A rectangle has a length of 42 inches and a width of 14 inches. Which of the following is not equal to the ratio of the rectangl
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The ratio of the rectangle's length to its width is 42/14 which simplifies to 3/1 by factoring out 14 out of the numerator and denominator.
Any ratio that is not 3:1, or a multiple of 3:1, is not equal.

List of Equal Ratios: 6:2, 9:3, 12:4, etc.
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3 years ago
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MissTica

Answer:

20 + 35x

Step-by-step explanation:

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Therefore :

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3 years ago
If Sandy's cookie recipe calls for 1/3 cup of brown sugar and she increases it to 2/9, how much brown sugar does she use?
expeople1 [14]
If you divide 9/2 you receive 4.5. Tho when you divide 1/3 you get .33333 (repeated), so now you know that both the fractions do not correlate. Now the 'multiples' of 1/3 are 2/ 6, 3/9, 4/12, 5/15, 6/18, 7/21 and so on. If you do the 'multiples' of 2/9 you get 4/18, 6/27. The common factors are 4/18 and 6/18. So know you know that Sandy is using 2/18 (or 1/9) cups more of sugar.
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3 years ago
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(13) The Modern Grocery has cashews that sell for $5.00 a pound and peanuts that sell
bazaltina [42]

Answer:

solution:

x = pounds of cashews = 20

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Step-by-step explanation:

x = pounds of cashews

y = pounds of peanuts

---

4.75x + 2.50y = 3.00*90

x + y = 90

---

put the system of linear equations into standard form

---

4.75x + 2.50y = 270

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5 0
3 years ago
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