What are the coordinates of the point obtained if the point A=(3,7) is rotated 180 degrees about the origin?

Mathematics

1 answer:

Yuliya22 [10]3 years ago

8 0

Answer:

B. (-3, -7)

Step-by-step explanation:

Anytime you rotate a number 180° about the origin, the numbers in the coordinates become their opposites.

-3 is the opposite of 3 and -7 is the opposite of 7.

Therefore, your new coordinates are (-3, -7)

(x,y) becomes (-x,-y)

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What is the value of x? x = 23 x = 35 x = 58 x = 93

Akimi4 [234]

we know that

m∠SQR+x= $180$ -------> by supplementary angles

m∠SQR= $180-x$

The sum of the internal angles of a triangle is equal to $180$ degrees

m∠SQR+m∠QSR+m∠SRQ= $180$

substitute the values in the formula

m∠SQR+ $35$ + $58$ = $180$

m∠SQR= $87$ degrees

<u>Find the value of x</u>

m∠SQR= $180-x$

x= $180$ -m∠SQR

x= $180-87$

x= $93$ degrees

therefore

<u>the answer is</u>

the value of x is $93$ degrees

5 0

3 years ago

Read 2 more answers

Kerry has a bag containing white and yellow marbles. Kerry randomly selects one marble, records the result, and returns the marb

dexar [7]

Answer:

The probability that next selection is yellow marble = 63% .

Step-by-step explanation:

Given the selection of yellow marbles = 41 times.

The selection of white marble = 24 times.

Total number of selections made = 65

Now calculate the probability that the next selection will be the yellow marble. Therefore, the probability of getting yellow marble can be determined by dividing the yellow selection by total number of selections.

$\text{P(yellow)} = \frac{ \text{The selection of yellow marbles} }{ \text{ Total number of slections }} \\\text{P(yellow)} = \frac{41}{65} = 0.63 \ or \ 63 \ percent$