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harkovskaia [24]
4 years ago
8

△QRS is rotated about point P to △Q′R′S′ .

Mathematics
1 answer:
swat324 years ago
6 0

A rotation is a transformation that preserves figure shape, figure sizes, angles and lengths.

Therefore,

  • option A is false, because rotation preserves sizes;
  • option B is false, because rotation doesn't change the figure size;
  • option C is true, because rotation preserves figure angles;
  • option D is true, because rotation preserves lenghts of segments.

Answer: option C and D.

You might be interested in
Which pair of angle measures satisfy the condition sin J = cos K?
kipiarov [429]
Sin J = cos K
sin J = cos (90 - J)

So, K = 90 - J

Therefore, 60 deg, 30 deg satisfy the condition sin J = cos K.
5 0
3 years ago
Factor -3/4 out of 3/2x - 9/4y
Vikki [24]

Answer:

-\frac{3}{4} \times (-2x +3y)

Step-by-step explanation:

To factor out -3/4 out of that equation, multiply and divide by -3/4.

Say ;

=\frac{3}{2}x -\frac{9}{4}y

=(\frac{3}{2}x -\frac{9}{4}y) \times \frac{-\frac{3}{4} }{-\frac{3}{4}}

Now, rearranging and making necessary commutations.

=-\frac{3}{4} \times (\frac{3}{2}x -\frac{9}{4}y) \times \frac{1 }{-\frac{3}{4}}

=-\frac{3}{4} \times (-2x +3y)

Factoring -3/4 we get an equation without any fractions

= -2x + 3y

3 0
3 years ago
Rationalize the denominator of the fraction: √5/√8 - √3
Lana71 [14]

Answer:

Step-by-step explanation:

Remark

The editor must have brackets put around the denominator when there are 2 terms.

That means I think the question is (√5) / (√8 - √3). If this is incorrect, leave a note.

To rationalize the denominator, you must multiply numerator and denominator by the conjugate  (√8 + √3).

Solution

√5 *  (√8 - √3) /  ( (√8 - √3) *  (√8 + √3)  )  

I don't think there is any point in removing the brackets in the numerator. Just leave it.

The denominator is a different matter.

denominator = ( (√8 - √3) *  (√8 + √3)  )

√8 * √8 = 8

√8 * √3 = √24

- √3 * √8 = - √24

-√3 * √3 = - 3

Take a close look at the 2 middle terms. They cancel out because one of them is plus and the other minus.

What you are left with is 8 - 3 = 5

So the final answer is

√5 *  (√8 - √3)

=============

5

6 0
3 years ago
Let R be the event that a randomly chosen person lives in the city of Raleigh. Let O be the event that a randomly chosen person
Anit [1.1K]

Answer:

P(O|R)

Step-by-step explanation:

The conditional probability notation of two events A and B can be written as either P(A|B) or P(B|A).

The '|' sign is read as 'given'. So, P(A|B) is read as the probability of event A given event B which implies that it is the probability that event A will occur given that event B has already occurred.

In the question,

Event R = Person lives in the city of Raleigh

Event O = Person is over 50 years old

The statement says, 'given that the person lives in Raleigh' which means that event R has already occurred and we need to find the probability of event O (the randomly chosen person is over 50 years old).

Hence, this statement can be given in conditional probability notation as

P(O|R)

7 0
3 years ago
Create a table.<br> y(n)=0.63^n*25000
Andrei [34K]

Answer:

Is it possible for you to explain it a little more?

Step-by-step explanation:


6 0
3 years ago
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