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Tasya [4]
2 years ago
8

Vertical angles 4x+7 and [5(x-4)] what is the value of x

Mathematics
2 answers:
MArishka [77]2 years ago
8 0

Answer:

x = 27

Step-by-step explanation:

Vertical angles are congruent.

5(x - 4 ) = 4x +7

5x - 20 = 4x + 7   {Distributive property}

Add 20 to both sides

5x = 4x + 7 + 20

5x = 4x  + 27

Subtract 4x from both sides

5x - 4x = 27

x = 27

choli [55]2 years ago
5 0

Answer:

x = 27

Step-by-step explanation:

vertical angles are congruent , then

5(x - 4) = 4x + 7 ← distribute parenthesis on left side

5x - 20 = 4x + 7 ( subtract 4x from both sides )

x - 20 = 7 ( add 20 to both sides )

x = 27

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Simplify; 1/x^2+5x+6 + 1/x^2+3x+2<br><br> pls I need a step by step solution urgently
ikadub [295]

Answer:

The simplest form of  \frac{1}{x^{2}+5x+6}+\frac{1}{x^{2}+3x+2}  is  \frac{2}{(x+1)(x+3)}

Step-by-step explanation:

To add two algebraic fractions do these steps

  1. Factorize each denominator
  2. Simplify each fraction to its lowest term
  3. Find the LCM of the two denominators
  4. Divide LCM by each denominator and multiply the numerators by its corresponding quotients
  5. Add the two fraction and simplify the last answer

To simplify \frac{1}{x^{2}+5x+6}+\frac{1}{x^{2}+3x+2}

Factorize each denominator

∵ The denominator of the first fraction is x² + 5x + 6

∵ x² = (x)(x)

∵ 6 = (2)(3)

∵ (2)(x) + (3)(x) = 5x ⇒ middle term

∴ x² + 5x + 6 = (x + 2)(x + 3)

∵ The denominator of the second fraction is x² + 3x + 2

∵ x² = (x)(x)

∵ 2 = (2)(1)

∵ (2)(x) + (1)(x) = 3x ⇒ middle term

∴ x² + 3x + 2 = (x + 2)(x + 1)

Find the LCM of the two denominators

∵ The denominators are (x + 2)(x + 3) and (x + 2)(x + 1)

- LCM is all the <u><em>different factors</em></u> multiplied together

∴ LCM of them is (x + 1)(x + 2)(x + 3)

- Divide LCM by each denominator

∵ (x + 1)(x + 2)(x + 3) ÷ (x + 2)(x + 3) = (x + 1)

- Multiply the numerator of the first fraction by (x + 1)

∵ (x + 1)(x + 2)(x + 3) ÷ (x + 2)(x + 1) = (x + 3)

- Multiply the numerator of the second fraction by (x + 3)

∴  \frac{1}{x^{2}+5x+6}+\frac{1}{x^{2}+3x+2} = \frac{x+1}{(x+1)(x+2)(x+3)}+\frac{x+3}{(x+1)(x+2)(x+3)}

- Add the numerators and write the answer as a single fraction

∴  \frac{1}{x^{2}+5x+6}+\frac{1}{x^{2}+3x+2} = \frac{2x+4}{(x+1)(x+2)(x+3)}

- Factorize the numerator by taking 2 as a common factor

∵ 2x + 4 = 2(x + 2)

∴  \frac{1}{x^{2}+5x+6}+\frac{1}{x^{2}+3x+2} = \frac{2(x+2)}{(x+1)(x+2)(x+3)}

- Simplify the fraction by dividing up and down by (x + 2)

∴  \frac{1}{x^{2}+5x+6}+\frac{1}{x^{2}+3x+2} = \frac{2}{(x+1)(x+3)}

The simplest form of  \frac{1}{x^{2}+5x+6}+\frac{1}{x^{2}+3x+2}  is  \frac{2}{(x+1)(x+3)}

5 0
3 years ago
What are all of the perfect cubes between 100 and 600
AlexFokin [52]
5³ = 125
6³ = 216
7³ = 343
8³ = 512
4 0
3 years ago
Read 2 more answers
Write an equation to model the total charge y (in dollars) in terms of x (the number of miles), A car rental
dangina [55]

Answer: the answer is C: y=4x+25

Step-by-step explanation:

25= B which is the initial charge and being that no other answer has a matching response, I connected the clues.

6 0
2 years ago
Write each improper fraction as a mixed number. 9/4. 8/3. 23/6. 11/2. 17/5. 15/8. 33/10. 29/12.
yanalaym [24]

Aloha~! My name is Zalgo and I am here to provide a bit more knowledge to you today. The following Improper Fractions have been changed into Mixed Numbers (and also into decimals because I like Math :3):

  • 9/4 - 2.25 - 2 4/1
  • 8/3 - 2.67 - 2 2/3
  • 23/6 - 3.83 - 3 5/6
  • 11/2 - 5.5 - 5 1/2
  • 17/5 - 3.4 - 3 2/5
  • 15/8 - 1.875 - 1 7/8
  • 33/10 - 3.3 - 3 3/10
  • 29/12 - 2.416 - 2 5/12

I hope that this info helps! :D

"Stay Brainly and stay proud!" - Zalgo

(By the way, can you mark me as Brainliest? I'd greatly appreciate it! Mahalo~! XP)

7 0
2 years ago
Read 2 more answers
How do I find 1/4 of 52
Neporo4naja [7]

Answer:

13

Step-by-step explanation:

1/4 of 52 is actually telling us to multiply 1/4 by 52 over 1.

1/4×52/1

=13

5 0
2 years ago
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