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Bess [88]
2 years ago
9

What is the sum of the measures of the interior angles of a triangle?

Mathematics
1 answer:
scoray [572]2 years ago
3 0

Answer:

180

Step-by-step explanation:

A+B+C=180. sum of interior angles of a triangle

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1 3/6 = 4/6+5/6 ,
1 1/5 = 1/5 + 5/5 , 2/5 + 4/5
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Simplify the expression. Write the answer using scientific notation. (5 x 102)−2
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102 multiply 5 is equally to 610 so that's gonna be 6.10 I think
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Por favor ayúdeme con mi tarea de matemáticas... Son ecuaciones<br> 2x + 4y=10<br> -x+5=9
Hatshy [7]
X+2y-5=0
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When solving a system of equations of A and B, we get no solution. When solving B and C, the solution is (0,3). When solving A a
Aliun [14]

Step-by-step explanation:

How do we set about finding the points in which two graphs y = f(x) and y = g(x) intersect?

We already know how to find where the graph of f(x) cuts the x−axis. That’s where y = 0. We calculate it by solving the equation  f(x) = 0 .

When the graphs of y = f(x) and  y = g(x)  intersect , both graphs have exactly the same x and y values. So we can find the point or points of intersection by solving the equation  f(x) = g(x). The solution of this equation will give us the x value(s) of the point(s) of intersection. We can then find the y value by putting the value for x that we have found into one of the original equations. That is by calculating either f(x) or g(x).

Example 1 

Calculate the point of intersection of the two lines f(x) = 2x − 1 and g(x) = x + 1.  First let’s look at a graph of the two functions. We can see the point of intersection is (2, 3).



We calculate the point of intersection by solving the equation f(x) = g(x). That is:

    2x − 1 = x + 1

    2x − x = 1 + 1

            x = 2

The y coordinate can now be found by calculating f(2):

    f(2) = 2×2 − 1 = 3

The point of intersection is (2, 3).

The example shows that we can find the point of intersection in two ways.

Either graphically, by drawing the two graphs in the same coordinate system, or algebraically by solving the equation such as the one in the above example.

Solving an equation graphically is easy with a graphical calculator or a computer program such as Excel.

Some equations cannot be solved algebraically but we can find solutions that are correct to as many significant figures as we want by using computers and calculators

4 0
2 years ago
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According to a study conducted in one city, 35% of adults in the city have credit card debts more than $2.000. A simple random s
BabaBlast [244]

Answer:

Binomial; \mu p=87.5, \sigma p=7.542

Step-by-step explanation:

  • a distribution is said be a binomial distribution iff
  1. The probability of success of that event( let it be p) is same for every trial
  2. each trial should have 2 outcome : p or (1-p) i.e, success or failure only.
  3. there are fixed number of trials (n)
  4. the trials are independent
  • here, the trials are obviously independent ( because, one person's debt doesn't influence the other person's)
  • here n=250
  • the probability of success(0.35) is same for every trial

(35/100=0.35 is the required p here)

  • \mu_{p} =n*p=250*\frac{35}{100} =250*0.35=87.5

[since, the formula for \mu _{p} =n*p ]

  • \sigma _{p} =\sqrt{n*(p)*(1-p)} = \sqrt{250*0.35*(1-0.35)} = 7.542 ( approximately)

[since, the formula for [tex]\sigma _{p} =\sqrt{n*(p)*(1-p)}

  • therefore, it is Binomial; \mu p=87.5, \sigma p=7.542

4 0
3 years ago
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