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Anestetic [448]
3 years ago
8

Which angles are corresponding angles?

Mathematics
2 answers:
SVETLANKA909090 [29]3 years ago
6 0
Example Shown above!
The corresponding angles of your picture would be:
1 - 9
6 - 14
2 - 10
5-13
3-11
8-16
4-12
7-15
Hope ya get the concept C:

bazaltina [42]3 years ago
3 0
6-14
1-9
And the other ones idk
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In the parallelogram below x =
solmaris [256]

Answer:

above is the solution to the question

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3 years ago
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What is the slope of a line that is perpendicular to the line<br> y = 2x – 6?
Zolol [24]

Answer:

The slope of a line that is perpendicular to the line y = 2x – 6 is -1/2.

Step-by-step explanation:

The slope-intercept form of the line equation

y = mx+b

where

  • m is the slope
  • b is the y-intercept

Step 1:

Finding the slope of the given equation

The given equation is

y = 2x - 6

comparing with the slope-intercept form of the line equation

The slope of the equation is: m = 2

Step 2:

Determining the slope of the perpendicular line

In Mathematics, a line perpendicular to another line has a slope that is the negative reciprocal of the slope of the other line.

  • As the slope of the equation is: m = 2

Therefore, the slope of the new perpendicular line:

-\frac{1}{m}=-\frac{1}{2}

Hence, the slope of a line that is perpendicular to the line y = 2x – 6 is -1/2.

Important Tip:

  • The product of the slopes of perpendicular lines is -1.

<u>Verification:</u>

The slope of the given line:

m_1=2

The slope of the perpendicular line:

m_2=-\frac{1}{2}\:\:\:\:

The product of the slopes is:

\:m_1\times \:m_2\:=2\times -\frac{1}{2}\:\:=-1

As the product of the slopes of perpendicular lines is -1, therefore, the lines are perpendicular.

Thus, the slope of a line that is perpendicular to the line y = 2x – 6 is -1/2.

7 0
3 years ago
Which of these statements is true for f(x)=(1/10)^x
lana66690 [7]

Step-by-step explanation:

Considering the function

f\left(x\right)=\:\left(\frac{1}{10}\right)^x

Analyzing option A)

Considering the function

f\left(x\right)=\:\left(\frac{1}{10}\right)^x

Putting x = 1 in the function

f\left(1\right)=\:\left(\frac{1}{10}\right)^1

f\left(1\right)=\:\left\frac{1}{10}\right

So, it is TRUE that when  x = 1 then the out put will be f\left(1\right)=\:\left\frac{1}{10}\right

Therefore, the statement that '' The graph contains \left(1,\:\frac{1}{10}\right)  '' is TRUE.

Analyzing option B)

Considering the function

f\left(x\right)=\:\left(\frac{1}{10}\right)^x

The range of the function is the set of values of the dependent variable for which a function is defined.

\mathrm{The\:range\:of\:an\:exponential\:function\:of\:the\:form}\:c\cdot \:n^{ax+b}+k\:\mathrm{is}\:\:f\left(x\right)>k

k=0

f\left(x\right)>0

Thus,

\mathrm{Range\:of\:}\left(\frac{1}{10}\right)^x:\quad \begin{bmatrix}\mathrm{Solution:}\:&\:f\left(x\right)>0\:\\ \:\mathrm{Interval\:Notation:}&\:\left(0,\:\infty \:\right)\end{bmatrix}

Therefore, the statement that ''The range of f(x) is y > \frac{1}{10} " is FALSE

Analyzing option C)

Considering the function

f\left(x\right)=\:\left(\frac{1}{10}\right)^x

The domain of the function is the set of input values which the function is real and defined.

As the function has no undefined points nor domain constraints.

So, the domain is -\infty \:

Thus,

\mathrm{Domain\:of\:}\:\left(\frac{1}{10}\right)^x\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:

Therefore, the statement that ''The domain of f(x) is x>0 '' is FALSE.

Analyzing option D)

Considering the function

f\left(x\right)=\:\left(\frac{1}{10}\right)^x

As the base of the exponential function is less then 1.

i.e. 0 < b < 1

Thus, the function is decreasing

Also check the graph of the function below, which shows that the function is decreasing.

Therefore, the statement '' It is always increasing '' is FALSE.

Keywords: function, exponential function, increasing function, decreasing function, domain, range

Learn more about exponential function from brainly.com/question/13657083

#learnwithBrainly

3 0
4 years ago
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What is the best way to answer this mixed number 7 3/4 + 1 5/6
olga_2 [115]

9514 1404 393

Answer:

  9 7/12

Step-by-step explanation:

12 is a suitable common denominator.

  (7 3/4) + (1 5/6) = (7 9/12) + (1 10/12) = (7+1) +(9/12 +10/12)

  = 8 + 19/12 = 9 + 7/12 . . . . . . change 19/12 to 1 7/12

  = 9 7/12

_____

My calculator works with mixed numbers very nicely, as many graphing calculators do.

8 0
3 years ago
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Check all that apply please
nydimaria [60]

Answer:

1, scalene 2, equilateral 3, scalene 4, isosceles

Step-by-step explanation:

7 0
3 years ago
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