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Zielflug [23.3K]
3 years ago
8

Which statements about the diagram are true? Select three options.

Mathematics
2 answers:
Stella [2.4K]3 years ago
6 0

Answer:

  • x = 63
  • z = 117
  • x + z = 180

Step-by-step explanation:

x is a "corresponding" angle for the one marked 63°. Here, corresponding angles are congruent, so x = 63°.

__

x and z are "same-side interior angles," so are supplementary. Their sum is 180°. x + z = 180°.

__

Because x and z are supplementary and z and 63° are supplementary, you know that ...

  z = 180° -63°

  z = 117°

_____

<em>Comments on the other answer choices</em>

The value of y can be computed using the fact that the sum of angles interior to the triangle is 180°. The unmarked triangle interior angle is a vertical angle to the one labeled 63°, so it is 63°. Then the value of y is ...

  y° = 180° -47° -63° = 70° . . . . . . . not 47°

__

We already know that 63° + y + 47° = 180° and x = 63°. That means ...

  x + y + 47° = 180°

so it cannot be true that x+y = 180.

otez555 [7]3 years ago
6 0

Answers are 1,3, and 5

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Which of the following is not a possible number of solutions when solving a system of equations containing a quadratic and a lin
Kobotan [32]

Answer:

3

Step-by-step explanation:

We have a system with two equations, one equation is a quadratic function and the other equation is a linear function.

To solve this system we have to clear "y" in both equations, and then equal both equations, then we will have a quadratic function and equal it to zero:

ax^2+bx+c=0, a\neq 0

Then to resolve a quadratic equation we apply Bhaskara's formula:

x_{1}=\frac{-b+\sqrt{b^2-4ac} }{2a}

x_{2}=\frac{-b-\sqrt{b^2-4ac} }{2a}

It usually has two solutions.

But it could happen that \sqrt{b^2-4ac} then the equation doesn't have real solutions.

Or it could happen that there's only one solution, this happen when the linear equation touches the quadratic equation in one point.

And it's not possible to have more than 2 solutions. Then the answer ir 3.

For example:

In the three graphs the pink one is a quadratic function and the green one is a linear function.

In the first graph we can see that the linear function intersects the quadratic function in two points, then there are two solutions.

In the second graph we can see that the linear function intersects the quadratic function in only one point, then there is one solutions.

In the third graph we can see that the linear function doesn't intersect the quadratic function, then there aren't real solutions.

7 0
3 years ago
If f(x)=4x+10, find f(2)
Genrish500 [490]

Answer:

18

Step-by-step explanation:

f(2)=4x+10

f=(4)(2)+10

f=8+10

f=18

4 0
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Estimate the difference.<br><br> 9,136 - 3,572
olga2289 [7]

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Step-by-step explanation:

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What is the mass of an object if it takes a net force of 32 N to accelerate
Sonbull [250]

We will find the answer using the second law of motion i.e. Force is equal to the product of mass and acceleration.

\sf \: F=ma

Where,

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  • M is mass
  • A is acceleration

In our case,

  • F = 32 N
  • A = 0.88m/s
  • M = ?

Let's solve for M ~

\tt \: 32 = m \times 0.88

\tt \: 32 = 0.88m

\tt \: 0.88m = 32

\tt \: m = 36.36

<em>Thus, The mass of object is 36.36 </em><em>grams</em><em>.</em><em>.</em><em>.</em><em>~</em>

5 0
2 years ago
Which expression below is equivalent to -3x+5(x+2)
kari74 [83]

Answer:


                                         Step-by-step explanation:

1.) Apply the distributive law

                5x + 5 * 2

2.) Multiply the numbers

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3.) Group like terms

                 5x - 3 + 10

4.) Add/subtract the numbers

                  -3 + 10 = 7 is equivalent to 5x + 7




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