If OPQ is dilated from point Q by a scale factor of 3, which of the following equations is true about R'S'?

Answers

Answer 1

Answer:

segment R prime S prime = three segment RS

Step-by-step explanation:

I took the test,

Answer 2

The true statement is segment R prime S prime = three segment RS

What is dilation?

Dilation is a transformation, which is used to resize the object.

The complete question is

If ΔOPQ is dilated from point Q by a scale factor of 3, which of the following equations is true about segment R prime S prime?

Triangle OPQ is shown with point R lying on side OP and point S lying on side OQ Line RS is perpendicular to side OQ.

segment R prime S prime = one half segment RS

segment R prime S prime = two segment RS

segment R prime S prime = segment RS

segment R prime S prime = three segment RS

The scale factor of dilation of ΔOPQ, S.F. = 3

S'Q' = 3 * SQ

also, R'Q' = 3* RQ

By Pythagoras theorem, we have

R'Q'² = R'S'² +S'Q'²

R'S'² = R'Q'² - S'Q'²

R'S'² = (3RQ)² - (3SQ)²

R'S'² = 9(RQ² - SQ²)

R'S' = 3 RS

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Related Questions

Increase 60 by 25%.

Answers

Answer:

75

Step-by-step explanation:

25% * 60 = 15

60 + 15 = 75

Answer:

the answer is 75

Step-by-step explanation:

i found out that that 25% of 60 was 15 because thats what i get when i divide it by 4. so then i added 15 ot 60 and it gave me 75

Shoes and hats are on sale. The expression 1/4(s + 24.80) can be used to determine the discount when you buy shoes with a retail price of s dollars and hats with a total retail price of $24.80. Write another expression that can be used to determine the discount.

Answers

Answer:

0.25s + 6.2

Step-by-step explanation:

Discount on sale expression : 1/4(s + 24.80)

Retail price of shoe = s

Retail price of hats = 24.80

From expression, we can conclude that there is a ; 1/4 = 0.25 = (0.25 * 100%) = 25% discount on each item ;

Hence, discount expression could be written as :

0.25s + 0.25(24.80)

0.25s + 6.2

24=6(-x-3)
in class need help

Answers

Answer:

- 7

Step-by-step explanation:

6(- x - 3) = 24

-6x - 18 = 24

-6x = 24 + 18

-6x = 42

x = 42 ÷ - 6

x = - 7

ILL GIVE BRAINLIEST TO WHOEVER ANSWERS PLEASE HELP. Im giving the most points it lets me!!

Answers

Answer:

RS || PQ and QR || SP                                   given

angle PSQ congruent to angle RQS           alternate interior angles theorem

angle PQS congruent to angle RSQ           alternate interior angles theorem

QS congruent to QS                                     reflexive property

Triangle PSQ congruent to triangle RSQ   ASA congruence

RS congruent PQ and QR congruent          CPCTC      

to SP

ten times the smallest of three consecutive integers is twenty two more than three times the sum of the integers. find the integers​

Answers

Answer:

31, 32 and 33

Step-by-step explanation:

Mark these consecutive integers as (n-1), n and (n+1)

(n-1) is the smallest of them

Now write the equation

10 * (n-1) = 3 * (n-1 + n + n+1) + 22

10n - 10 = 3 * (n + n + n) + 22

10n - 10 = 3 * 3n + 22

10n - 10 = 9n + 22

10n - 9n = 22 + 10

n = 32

Now find these three integers

n-1 = 32 - 1 = 31

n = 32

n+1 =32 + 1 =33

if the slope of a line is 6, find y when given (5, -9) and (7, y)

Answers

Answer= 3

-9= 6(5) +c
-9= 30 + c
Bring 30 to the other side
-39= c

Y= 6(7) -39
Y=3

Write down the mathematical name of the shape made by each net

Answers

The shapes that would be formed by the nets are:

a. Cuboid

b. square pyramid

What is the Net of a Cuboid?

A cuboid is a shape that is formed by the net that has six (6) flat faces with angles that are right angles.

The net in figure a above would form a cuboid shape when joined together.

What is the Net of a Square Pyramid?

A square pyramid is a thee-dimensional geometric shape that is formed by the net consists of a square base and four triangular sides which joined together at a common vertex.

The image attached below shows the shape that would be formed by the net in figure B, which would be a square pyramid.

Therefore:

a. Cuboid

b. square pyramid

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PLZ HELP FAST I NEED IT RN

Answers

Answer:

16 units

Step-by-step explanation:

Answer:

16 units

Step-by-step explanation:

JM- 3 units long

JK- 5 units wide

KL-3 units long

ML-5 units long

Perimeter is the sum of all 4 sides meaning:

3+5+3+5=16

16 units is the answer

A city's population has increased 40% in the last 5 years and is now 53,782 people.

What was the population 5 years ago?

Answers

Given:

A city's population has increased 40% in the last 5 years and is now 53,782 people.

To find:

The population 5 years ago.

Solution:

Let x be the population 5 years ago.

A city's population has increased 40% in the last 5 years.

So, present population is

[tex]x+x\times \dfrac{40}{100}=x+0.4x=1.4x[/tex]

It is given that the present population is 53782.

[tex]1.4x=53782[/tex]

[tex]x=\dfrac{53782}{1.4}[/tex]

[tex]x=38415.7142857[/tex]

[tex]x\approx 38416[/tex]

Therefore, the population 5 years ago was about 38416.

what is the
365
If the probability that a person will die in the next year is
100000
probability that the person will not die in the next year?
A. 99%
B. 0.00365
C. 0.99635
D. 99635

Answers

The probability that the person will not die in the next year is 0.99635, the correct option is C.

What is the probability?

Probability refers to a possibility that deals with the occurrence of random events.

The probability of all the events occurring need to be 1.

The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.

P(E) = Number of favorable outcomes / total number of outcomes

We are given that;

The probability that a person will die in the next year =100000

Now,

The probability that a person will die in the next year is given as 0.00001 (or 1/100000).

To find the probability that the person will not die in the next year, we can subtract the probability of dying from 1

Probability of not dying = 1 - Probability of dying

Probability of not dying = 1 - 0.00001

Probability of not dying = 0.99999

None of the options provided match this answer exactly, but the closest 0.99635.

Therefore, by the probability the answer will be 0.99635.

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What is the multiplier for decreasing something by 3%?

Answers

Answer:

The answer is 0.03

Step-by-step explanation:

Please mark brainliest

√17/144

Simplify this radical expression

Answers

Answer=0.3435921355

x^3 - x^2 + 5x – 5 = 0

Answers

Answer:

The final solution is x = i√5, − i√5

Step-by-step explanation:

(x−1)(x2+5)=0

If any individual factor on the left side of the equation is equal to 0, the entire expression will be equal to 0.

x−1=0

x^2+5=0

Set the first factor equal to 0 and solve.

x = 1

Set the next factor equal to 0 and solve.

The final solution is all the values that make (x−1)(x2+5)=0 true.

So, final solution is x = i√5, − i√5

what is the answer +7 – 7???

Answers

Answer:

0

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

positive 7 minus 7 just equals zero

Felix is dividing 322 by 12. He
says the answer is going to be
smaller than 322. Do you agree
with him or disagree?

Answers

I agree if you divide it. The answer will be 26.8

Answer:

agree

Step-by-step explanation:

322/12 is 26.8333333333 so its obviously smaller than 322

I NEED HELP WITH THIS ASAP

Answers

Answer:

I think its AED19

Step-by-step explanation:

please give brainliest if correct

What is the area of the figure?. Single choice.
(10 Points)

18 cm squared
26 cm squared
34 cm squared
18 cm squared

Answers

Answer:

34 cm squared

Step-by-step explanation:

Complete it to full rectangle and calculate the area by multiplying width and length then calculate the area of red area and subtract it from the full rectangle's area

9×6 - 5×4 = 34 cm^2

The slope of the linear model is 1.5. What does this

mean in terms of the maximum noise level and the

number of people?

Answers

Answer:

Noise level increase by 1.5 per unit increase in number of persons

Step-by-step explanation:

The slope, m of a linear model is the value which represents the unit change in the dependent variable due to a unit chahe in the independent dependent.

The maximum noise in decibel is the dependent variable while the number of persons is the independent variable. Hence, the Coefficient of the independent vatiabkw is the slope and gives the rate of change in the dependent variable per unit Change in the independent variable.

Solve for x Solver for x

Answers

Answer:

x = 4

Step-by-step explanation:

since it is an equilateral triangle, each angle is 60°. To find x, set up the equation 17x-8=60

17x = 68

x=4

What percent of 950 is 931

Answers

Answer:

100.

Step-by-step explanation:

Hope you get it right

Ed buys a box of eggs costing £2.80, two packs of bacon for £2.40 each and two tins of baked beans.
He pays with a £10 note and gets 80p change.
How much does a tin of beans cost in pounds, £?

Answers

Answer:

Your answer is

0.8 pound.

If wrong, Sorry...

But remember to give me correct answer

Want more answer then follow me, like and MARK MY ANSWER AS BRAINLIST ANSWER.

I need that urgently.

Answer: £0.80

Explanation:

1) 10 - 0.80 = £9.20 all together.

2) (2.40 x 2) + 2.80 = £7.60 for the two packs of bacon and box of eggs.

3) 9.20 - 7.60 = £1.60 is the amount of money spent on baked beans.

4) There is 2 tins of baked beans, so to fi d an individual one we divide by 2:
1.60 / 2 = £0.80

$5.40 is what
percent of $4.50?
I
I will give braniest ❤️

Answers

Answer:

120%

Step by step explanation

Step 1: We make the assumption that 4.50 is 100% since it is our output value.

Step 2: We next represent the value we seek with $x$x​.

Step 3: From step 1, it follows that $100\%=4.50$100%=4.50​.

Step 4: In the same vein, $x\%=5.40$x%=5.40​.

Step 5: This gives us a pair of simple equations:

$100\%=4.50(1)$100%=4.50(1)​.

$x\%=5.40(2)$x%=5.40(2)​.

Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS
(left hand side) of both equations have the same unit (%); we have

$\frac{100\%}{x\%}=\frac{4.50}{5.40}$
100%
x%​=
4.50
5.40​​

Step 7: Taking the inverse (or reciprocal) of both sides yields

$\frac{x\%}{100\%}=\frac{5.40}{4.50}$
x%
100%​=
5.40
4.50​​

$\Rightarrow x=120\%$⇒x=120%​

Therefore, $5.40$5.40​ is $120\%$120%​ of $4.50$4.50​.


Hope this kinda helped

It took 5.5 hours to drive 154 miles. What was the average rate of speed?

Answers

Answer:

The average speed would be about 28 miles per hour.

Step-by-step explanation:

154 divided by 5.5 is 28.

Find the perimeter of the figure.
8 cm
10 cm

Answers

Answer:

12.565 + 8 + 10 + 10 = 40.565

Find the circumfrence of the circle and divide that by 2. Then add the other sides.

HELPPPPPPPPPPPPPPPPPPPPPPPPP

Answers

Answer:

1: 11b(exponent of 2) +6b -9c

2: -11xy -9x -5x(exponent of 2)y

Step-by-step explanation:

What is the median of the data set?
38, 65, 72, 67, 80
A
67
B 64
C
72
D 65

Answers

Answer:

A) 67

Step-by-step explanation:

Answer:

Answer is A.67

Step-by-step explanation:

I hope it's helpful!


[tex] \sin {}^{2} (a) + cos {}^{2} (a) = [/tex]
???

Answers

Answer:

sin^2a+ cos^2a=1

it is derived from Pythagoras theorem

Answer:

sin^2a+ cos^2a=1

Step-by-step explanation:

Nine people are going to share a 128-ounce bottle of soda. How many ounces will each person get to drink?

Answers

128/9=14.222
hope it helps

A bacteria is tripling every 10 days. If there is a 4 bacteria in a sample, how long with it take to reach 1 million bacteria?​

Answers

120 days is the correct answer!4 (0 days)12 (10 days)36 (20 days)108 (30 days)324 (40 days)972 (50 days)2,916 (60 days)8,748 (70 days)26,244 (80 days)78,732 (90 days)236,196 (100 days)708,588 (110 days)2,125,764 (120 days)Please let me know if I am wrong.

PLEASE PLEASE HELP. I WILL GIVE BRAINLIEST.

Answers

Answer:

You would need to know if both sides are equal to each other

Step-by-step explanation:

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