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Anuta_ua [19.1K]
3 years ago
15

Triangle RST was dilated with the origin as the center of dilation to create triangle

Mathematics
1 answer:
ruslelena [56]3 years ago
6 0

Answer:

(x,y) ------>(3/4x, 3/4y)

Step-by-step explanation:

the scale factor is 3/4 so you have to multiply the numbers.

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The denominator of a fraction is 10 more than its numerator.
Dennis_Churaev [7]

The right answer is Option C : 5

Step-by-step explanation:

Let,

The numerator of fraction = x

The denominator of a fraction is 10 more than its numerator.

\frac{x}{x+10}

When 1/3 is added to this fraction,

\frac{x}{x+10}+\frac{1}{3}

the resulting fraction’s denominator is three times the denominator of the original fraction its numerator is 15 less than its denominator

\frac{3(x+10)-15}{3(x+10)}

Therefore, it becomes

\frac{x}{x+10}+\frac{1}{3} = \frac{3(x+10)-15}{3(x+10)}

Taking LCM on left side

\frac{3x+(x+10)}{3(x+10)}=\frac{(3x+30)-15}{3(x+10)}\\\\\frac{3x+x+10}{3(x+10)}=\frac{3x+30-15}{x(x+10)}\\\\\frac{4x+10}{3(x+10)}=\frac{3x+15}{3(x+10)}

Multiplying both sides by 3(x+10)

3(x+10)*\frac{4x+10}{3(x+10)}=\frac{3x+15}{3(x+10)}*3(x+10)\\4x+10=3x+15\\4x-3x=15-10\\x=5

The numerator of original fraction is 5.

The right answer is Option C : 5

Keywords: fraction, addition

Learn more about fractions at:

  • brainly.com/question/11207748
  • brainly.com/question/11280112

#LearnwithBrainly

8 0
3 years ago
My last 2 questions so I felt generous. (Answer them for brainiest)
prohojiy [21]

Answer:

Step-by-step explanation:

19. 18-4.62=13.38 to spend on the systems or 6.69 a piece

20. 45000+300m=60000

m=50

45000+300m>60000  

He needs at least 50 machines to make the 60000.

5 0
2 years ago
How do i find the greatest common factor of 84 and 36
Rufina [12.5K]

Answer:

What is the GCF of 36 and 84?

Find the prime factorization of 36.

Find the prime factorization of 84. 84 = 2 × 2 × 3 × 7.

To find the GCF, multiply all the prime factors common to both numbers: Therefore, GCF = 2 × 2 × 3.

GCF = 12.

The common factors of 84 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, and 84. We can get all the factors using the prime factorization method.

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
Giselle wants to buy a condo that has a purchase price of $163,000. giselle earns $2,986 a month and wants to spend no more than
Alborosie
The condo costs $163,000, earns $2,986 per month, spends no more than 25% of her income, then if she pays $33,000 for the down payment, the remaining amount would be $130,000. Since 20% of the initial cost is only $32,600, she can adjust her down payment to 20.25% of the initial cost so that the annual payments would be less.
6 0
3 years ago
Read 2 more answers
Use the "mixed partials" check to see if the following differential equation is exact. If it is exact find a function F(x,y) who
Arturiano [62]

We have

(-3xy^2+y)_y=--6xy+1

and

(-3x^2y+x)_x=-6xy+1

so the equation is indeed exact. So we want to find a function F(x,y)=C such that

F_x=-3xy^2+y

F_y=-3x^2y+x

Integrating both sides of the first equation wrt x gives

F(x,y)=-\dfrac32x^2y^2+xy+f(y)

Differentiating both sides wrt y gives

F_y=-3x^2y+x=-3x^2y+x+f_y\implies f_y=0\implies f(y)=C

So we have

F(x,y)=-\dfrac32x^2y^2+xy+C=C

or

F(x,y)=\boxed{-\dfrac32x^2y^2+xy=C}

3 0
3 years ago
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