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Stella [2.4K]
3 years ago
5

-3x+2y=-10 and -2x+y=-6 solve by elimination

Mathematics
2 answers:
Sphinxa [80]3 years ago
8 0
The answer is for that is (22/3,6).

Igoryamba3 years ago
3 0

Step-by-step explanation:

-3x+2y=-10

-2(-2x+y=-6)

-3x+2y=-10

4x-2y=12

-3x=-10

4x=12

x=2

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larisa86 [58]

Answer:

The values of x that make the triangles congruent.

x = 6 and x = 3

Step-by-step explanation:

Given

  • AC = 5x-2
  • DC = 3x+10
  • AB = 5x
  • DB = 4x+3

Given that the triangles are congruent.

According to the SAS (Side-Side-Side)

AC = DC

AB = DB

so

AC = DC

substituting AC = 5x-2 and DC = 3x+10

5x-2 = 3x+10

5x-3x = 10+2

2x = 12

divide both sides by 2

2x/2 = 12/2

x = 6

and

AB = DB

substituting AB = 5x and DB = 4x+3

5x = 4x+3

5x-4x = 3

x = 3

Therefore, the values of x that make the triangles congruent.

x = 6 and x = 3

3 0
3 years ago
At a school carnival, the diameter of the mat of a trampoline is 10 feet and the diameter of its metal frame is 12 feet. What is
Zielflug [23.3K]

Answer:

Step-by-step explanation:

circumference = pi * diameter

circumference of metal frame = pi * (diameter of metal frame)

(diameter of metal frame) = 12

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3 0
3 years ago
Read 2 more answers
40% of what number is 82?
Naya [18.7K]
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<span>40% 0f 205 = 205*40% = 205*40/100 = 82
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4 0
3 years ago
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The equation shown below involves a perfect square trinomial. 4x2 + 20x + 25 = 7 Which of the following is a step in solving thi
fomenos
4 x^2 + 20 x + 25 = 7
Divide both sides by 4:
x^2 + 5 x + 25/4 = 7/4
Write the left-hand side as a square:
(x + 5/2)^2 = 7/4
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x + 5/2 = sqrt(7)/2 or x + 5/2 = -sqrt(7)/2
Subtract 5/2 from both sides:
x = sqrt(7)/2 - 5/2 or x + 5/2 = -sqrt(7)/2
Subtract 5/2 from both sides:
Answer:  x = sqrt(7)/2 - 5/2 or x = -5/2 - sqrt(7)/2
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4 years ago
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kolezko [41]
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