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Vladimir79 [104]
3 years ago
9

Polygon ABCD is rotated 90 degrees counter loll about the origin to create polygon A' B' C' D'. Match set of coordinates to vert

ices of polygon A' B' C' D'
Mathematics
1 answer:
Sati [7]3 years ago
5 0

Answer:

A (3, 1)

B (2, 2)

C (1, 2)

D (1, 1)

Step-by-step explanation:

When a point is rotated 90° (90 degrees) counterclockwise about its origin, the coordinate B (x, y) transforms into B' (-y, x).

A′ (-1, 3) B′ (-2, 2) C′ (-2, 1) D′ (-1, 1)

Using the formula above B (x, y) ⇒ B' (-y, x), we have the coordinates for the polygon as:

A′ (-1, 3) ⇒ A (3, 1)

B′ (-2, 2) ⇒ B (2, 2)

C′ (-2, 1) ⇒ C (1, 2)

D′ (-1, 1) ⇒ D (1, 1)

∴  coordinates of the original polygon is given by the vertices:

A (3, 1), B (2, 2), C (1, 2), D (1, 1)

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densk [106]

Answer:

1) 25%

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Step-by-step explanation:

1) 35 is what percent of 140

This is calculated as:

35/140 × 100

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Let the number be represented as x

This is calculated as:

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45/100 × x = 250

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Cross Multiply

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Let the percentage be represented by x

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Divide both side by 740

x% = 74/740

x% = 0.1

Converting to percentage

0.1 × 100 = 10%

4) 350 is 50% of what number?

Let the number the represented by x

This is calculated as:

50% of x = 350

50/100 × x = 350

50x /100 = 350

Cross Multiply

50x = 350 × 100

x = 35000/50

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