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Tpy6a [65]
3 years ago
13

The measures of the three angles of a triangle are given. Find the value of x and state whether the triangle is acute, obtuse or

right. x + 10, x − 20, x + 25
A. x = 25, acute
B. x = 55, acute
C. x = 65, right
Mathematics
1 answer:
serious [3.7K]3 years ago
5 0
I would say the answer is B x=55, acute
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Which statements about the system are true? Check all that apply. y =1/3 x – 4 3y – x = –7 The system has one solution. The syst
fredd [130]

Answer:

The true statements are:

- The system consists of parallel lines

- Both lines have the same slope

Step-by-step explanation:

* Lets talk about the solution of the linear equations

- There are three types of the solutions of the system of linear equations

# If the two lines intersect each other, then there is one solution

- The equations are ax+ by = c , dx + ey = f

# If the two lines parallel to each other, then there is no solution

- The equations are ax+ by = c , ax + by = d in its simplest form ,

  where a is the coefficient of x , b is the coefficient of y and

  c , d are the numerical terms

# If the two lines coincide (over each other), then there are infinite

   solutions

- The equations are ax+ by = c , ax + by = c in its simplest form, where

  a is the coefficient of x , b is the coefficient of y and c is the

  numerical term

* Lets solve the problem

∵ The system of equation is:

   y = 1/3 x - 4 ⇒ (1)

   3y - x = -7 ⇒ (2)

- Lets put equation (1) in the form of equation (2)

∵ y = 1/3 x - 4 ⇒ multiply both sides by 3

∴ 3y = x - 12 ⇒ subtract x from both sides

∴ 3y - x = -12

∴ Equation (1) is 3y - x = -12

∵ Equation (2) is 3y - x = -7

∵ The coefficients of x and y in the two equation are equal

∵ The numerical terms in the two equations are not equal

∴ The equations have no solution because their lines are parallel

∵ The parallel lines have same slope

* The true statements are

- The system consists of parallel lines

- Both lines have the same slope

7 0
3 years ago
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+2n to both sides
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divide 8 to both sides
n = -3

4 0
3 years ago
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Part one: How do you solve a system of equations approximately using graphs and tables?
tatiyna
This problem can be solve by graphing (technology), as suggested. 
The answer is posted as an attached image.  We see that after about 14.75 years, the invading species will surpass the indigenous population.

If it needs to be solved mathematically and accurately, the math is a little more advanced, using the bisection method, or Newton's method.
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Note: the scale of y has been shrunk by 1000, so each unit on the y-axis represents 1000 frogs.

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