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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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Answer:

V≈6283.19

Step-by-step explanation:

V=πr^2h

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8 0
3 years ago
What is the length of BC in the right triangle below 21 and 72
sleet_krkn [62]
Im guessing 21 and 72 are the side lengths for the triangle?

Alright, so since it's a right triangle you can use the Pythagorean theorem or a^2+b^2=c^2

Since i cant see the picture, im going to use some general math <span>so i</span> can figure out if those two sides are the legs or if one of them is the hypotenuse
Alright 
so im guessing the side we're trying to find is the hypotenuse

21^2+72^2=c^2
441+5184=c^2
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<span>√5625=c</span>
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The answer is 75, hope i helped!
3 0
3 years ago
Help me with this question ​
SashulF [63]

Answer:

15/4

Step-by-step explanation:

The formula for slope is:

(y₂-y₁)/(x₂-x₁)

Now we plug in the coordinates given to us into the equation:

(5-(-10))/(-1-(-5))

15/4

3 0
3 years ago
A rectangle has a length five more than twice the width. If the perimeter is 22 units find the width and length
PtichkaEL [24]

Set the following: Length = L    Width = W

The length is twice the width:    L = 2*W     or:  W = L/2

Perimeter: P = 60ft = 2*L + 2*W

Substituting L for W in the perimeter equation gives:

P = 60ft = 2*L + 2*(L/2) = 2*L + L = 3L

L = 60ft/3 = 20ft    W=L/2=20ft/2=10ft

Verify result:  Perimeter= P = 60ft = 2L + 2W = 2*20ft +2*10ft = 40ft+20ft = 60ft

The area of the rectangular is: Area = A = Length*Width = L*W = 20ft*10ft = 200 (ft)^2

-Rosie

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3 years ago
1. Find the value of y using the following diagram. (The angles are vertical angles)<br> 74+5<br> 47
KonstantinChe [14]

Answer:  brainliest please

Part 1) Option D

Part 2) Option C

Step-by-step explanation:

we know that

In a Rhombus

Opposite angles are congruent, and consecutive angles are supplementary. All sides are congruent by definition. The diagonals bisect the angles

Part 1) What is the measure of angle  ?

-----> remember that the diagonals bisect the angles

Part 2) What is the measure of angle  ?

Remember that

In a rhombus consecutive angles are supplementary

so

The measure of angle  is equal to the measure of angle T divided by

Step-by-step explanation:

3 0
3 years ago
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