Figure ABCD is a rhombus with point A (3, −1). What rule would rotate the figure 270° counterclockwise?(x,y)→(−y,−x)
(x,y)→(−y,x)
(x,y)→(y,x)
(x,y)→(y,−x)

Answers

Answer 1
Answer:

Answer:

The correct option is 4.

Step-by-step explanation:

Given information: ABCD is a rhombus with point A (3, −1).

If a figure rotated 90° counterclockwise, then

(x,y)\rightarrow (-y,x)

If a figure rotated 180° counterclockwise, then

(x,y)\rightarrow (-x,-y)

If a figure rotated 270° counterclockwise, then

(x,y)\rightarrow (y,-x)

Therefore the rule (x,y)\rightarrow (y,-x) would rotate the figure 270° counterclockwise.

The correct option is 4.

Answer 2
Answer: (x,y)→(y,−x)
.......

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Write the equation of the line that passes through the points (3,1) and (-2,6)

Answers

slope =  y2 - y1 / x2 - x1

6 - 1 /  - 2 - 3

5 /  - 5

- 1

y = mx + c

1 =  - 1 * 3 + c

1 =  - 3 + c

1 + 3 = c

c = 4

y =  - 1x + 4

y =  - x + 4

Write a seperate sentance IN SPANISH for each word in the past tense that describes each of the following:1. Date
2. Times
3. Weather
4. location
5. appearance of someone
6. attitude
7. age
8. emotional state of a person (happy sad angry)


part B
write a description of a person or a place IN SPANISH. Use the imperfect form when appropriate.

Answers

Date= cita

La cita era a las 8:00 de la mañana.

Times=veces.

El fue a Canadá 4 veces y después viajó a Europa.

Weather=El tiempo.

El tiempo en Filipinas fue cálido  y lluvioso cuando estube allí.

location= ubicación.

Su maleta se extravió  y nunca se encontró su ubicación.

appareance of someone=llegada de alguien-

La llegada de alguién alteró su comportamiento.

attitude=actitud

Recriminó su actitud por su indebido comportamiento.

age=eda

La edad de María era mayor que la de la señora Juana, ellas morían tras una penosa enfermedad el año pasado..

Emotional sate or a person:
happy=feliz
sad=triste
angry= enfadado.

Ella era feliz de niña, en su adolescencia murió su abuela y siempre estubo triste, después se casó y siempre estubo enfadada.ademas de triste.


Pompeya era una villa Romana, donde vivían comerciantes, sus habitantes hablaban el Latín, y comerciaban con otros comerciantes que viajaban en grandes embarcaciones repletas de productos y especias. Sus habitantes comían una especie de cocido, el cocinero cocinaba este manjar con garbanzos, berzas y un poco de carne. El Vesubio destruyóese magnifico lugar, cuandoerupcionó.

Steven wants to buy a $495 bicycle. Steven has no money saved, but will be able to deposit $40 into a savings account when he receives his paycheck each Friday. However, before Steven can buy the bike, he must give his sister $65 that he owes her. For how many weeks will Steven need to deposit money into his savings account before he can pay back his sister and buy the bike?

Answers

$495 + $65 = $560

$560 / 40 = 14

He must save for 14 paychecks.

Answer:

He must save for 14 paychecks.

Step-by-step explanation:

$495 + $65 = $560

$560 / 40 = 14

He must save for 14 paychecks.

What number is 164,502,423 decreased by 100,000

Answers

If we decrease 164,502,423 by 100,000 we get 164,402,423

164,502,423 - 100,000 = 164,402,423

Side a of a triangle is 4 cm longer than side b. Side c is twice as long as side b. What is the length of each side if the perimeter is 28 cm? Draw and label picture. Show all work with labeled answer.

Answers

Side a, b and c are 10cm , 6cm , 12cm

Given that;

Side a = 4 + Side b

Side c = 2(Side b)

Perimeter of triangle = 28 cm

Find:

Length of each side

Computation:

Assume;

Side b = q

Side a = 4 + q

Side c = 2q

So,

Perimeter of triangle = 28 cm

q + 4 + q + 2q = 28

4q = 24

q = 6

Side a = 10 cm

Side b = 6 cm

Side c = 12 cm

Learn more:

brainly.com/question/20955459?referrer=searchResults

a=b+4\nc=2b\na+b+c=28\n\nb+4+b+2b=28\n4b=24\nb=6\n\na=6+4\na=10\n\nc=2\cdot6\nc=12\n\n\boxed{a=10,b=6,c=12}

O is the center of the circle. Assume that lines that appear to be tangent are tangent. What is the value of x?

Answers

Answer:

\boxed{\boxed{x^(\circ)=78^(\circ)}}

Step-by-step explanation:

Given that, O is the center of the circle and PQ is a tangent to the circle at point Q. OQ is a radius of the circle.

We know that, a tangent to a circle is a line which just touches the circle. And the angle between the tangent and radius is 90°.

Hence, ΔOQP is a right angle triangle. We know that the sum of the measurements of all the 3 angles of a triangle leads to 180°. So,

\Rightarrow m\angle O+m\angle Q+m\angle P=180^(\circ)

\Rightarrow x^(\circ)+90^(\circ)+12^(\circ)=180^(\circ)

\Rightarrow x^(\circ)=180^(\circ)-90^(\circ)-12^(\circ)=78^(\circ)


Angle q is right angle so you would first do 12+90=102 then you would do 180-102=78 so x=78