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lisov135 [29]
3 years ago
6

What is the value of x? Enter your answer in the box.

Mathematics
2 answers:
zubka84 [21]3 years ago
4 0

the value of x is 12

sergiy2304 [10]3 years ago
4 0
You have to set the expressions equal to each other since they're vertical angles, so its 4x+7=5(x-4) then you get 4x+7=5x-20 you then subtract 4x to get 7=x-20 then after add 20 on both sides to get 27=x.
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Please could you explain this step by step I’m really stuck.
allochka39001 [22]

Answer:

x = -2.5
x = 2

Step-by-step explanation:

Hello!

We can remove the denominators by multiplying everything by it.

Solve:

  • \frac{5}{x + 3} + \frac4{x + 2} = 2
  • 5 + \frac{4(x + 3)}{x + 2} = 2(x + 3)
  • 5 + \frac{4x + 12}{x + 2} = 2x + 6
  • 5(x + 2) +4x + 12 = (2x + 6)(x + 2)
  • 5x + 10 + 4x + 12 = 2x^2 + 6x + 4x + 12
  • 9x + 22 = 2x^2 + 10x + 12

Let's make one side equal to 0.

  • 0 = 2x^2 + x - 10

Solve by factoring, and then the zero product property.

  • 0 = 2x^2 + x - 10\\

Multiply 2 and -10. You get -20. Think of two number that multiply to -20, and add to 1. If we think about the standard form of a quadratic, ax^2 + bx + c, think two numbers that equal "ac" and add up to "b".

  • 0 = 2x^2 - 4x + 5x - 10
  • 0 = 2x(x - 2) + 5(x - 2)
  • 0 = (2x + 5)(x - 2)

Using the zero product property, set each factor to 0 and solve for x.

  1. 2x + 5 = 0
    2x = -5
    x = -5/2 = -2.5
  2. x - 2 = 0
    x = 2

The two answers are x = -2.5, and x = 2.

3 0
2 years ago
Read 2 more answers
Could 10.6\text{ cm}, 5.6\text{ cm},10.6 cm,5.6 cm,10, point, 6, space, c, m, comma, 5, point, 6, space, c, m, comma and 4.0\tex
vladimir1956 [14]

Since we know that triangle inequality theorem states that sum of any two sides of a triangle must be greater than third side.

Now let us see if it is true for our given side lengths.

10.6+5.6>4.0

16.2>4.0

Now let us try with another pair.

5.6+4.0>10.6

9.6

We can see that sum of 5.6 and 4 is less than 10.6. Therefore, 10.6 cm, 5.6 cm and 4.0 cm can not be side lengths of a triangle.

7 0
3 years ago
Read 2 more answers
Plz plz plz help❤I'll help back
Rama09 [41]
The answer is forty four 44

3 0
3 years ago
Read 2 more answers
A rectangle has a perimeter of 42 m and a width of 9 m. What is the length in meters.
Vlad [161]

Answer:

12 meters

Step-by-step explanation:

2x9=18 (get both widths)

42-18=24 (take away widths of 9m)

24/2=12 (divide by 2 to get one length)

5 0
2 years ago
How do I solve this system of equations by adding, subtracting, or multiplying? <br> x-y=8;x+y=12
Natasha2012 [34]
By substitution.
Get y or x alone then insert it into the other equation solving for one of the two variables. After that substitute ur answer into one of the equations then solve.
7 0
3 years ago
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