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trapecia [35]
3 years ago
7

Help please the image is the question

Mathematics
1 answer:
Wewaii [24]3 years ago
6 0

Answer:

first blank: because of the alternate. ext. angles theorem

2nd blank: because corresponding angles theorem

3rd blank: Linear pair

4th blank: substitution

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Write the equation of the line that passes through the points (2,0) and (1,-2)
Darya [45]

Answer:

y

=

2

x

−

1

Explanation:

First, we need to determine the slope of the line. The formula for determining the slope of a line is:

m

=

y

2

−

y

1

x

2

−

x

1

where

m

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(

x

1

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y

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and

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x

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y

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For this problem the slope is:

m

=

3

−

−

1

2

−

0

m

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3

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1

2

m

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4

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m

=

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Now, selecting one of the points we can use the point slope formula to find the equation.

The point slope formula is:

y

−

y

1

=

m

(

x

−

x

1

)

Substituting one of our points gives:

y

−

−

1

=

2

(

x

−

0

)

y

+

1

=

2

x

Solving for

y

to put this in standard form gives:

y

+

1

−

1

=

2

x

−

1

y

+

0

=

2

x

−

1

y

=

2

x

−

1

Answer linky

=

2

x

−

1

Explanation:

First, we need to determine the slope of the line. The formula for determining the slope of a line is:

m

=

y

2

−

y

1

x

2

−

x

1

where

m

is the slope and the x and y terms are for the points:

(

x

1

,

y

1

)

and

(

x

2

,

y

2

)

For this problem the slope is:

m

=

3

−

−

1

2

−

0

m

=

3

+

1

2

m

=

4

2

m

=

2

Now, selecting one of the points we can use the point slope formula to find the equation.

The point slope formula is:

y

−

y

1

=

m

(

x

−

x

1

)

Substituting one of our points gives:

y

−

−

1

=

2

(

x

−

0

)

y

+

1

=

2

x

Solving for

y

to put this in standard form gives:

y

+

1

−

1

=

2

x

−

1

y

+

0

=

2

x

−

1

y

=

2

x

−

1

Answer link

4 0
2 years ago
The ratio of the side adjacent am acute angle and the hypotenuse. Adjacent/hypotenuse
diamong [38]

Answer:  The answer is cosine of that acute angle.


Step-by-step explanation:  We are to find the ratio of the adjacent side of an acute angle to the hypotenuse.

In the attached figure, we draw a right-angled triangle ABC, where ∠ABC is a right angle, and ∠ACB is an acute angle.

Now, side adjacent to ∠ACB is BC, which is the base with respect to this particular angle, and AC is the hypotenuse.

Now, the ratio is given by

\dfrac{\textup{adjacent side}}{\textup{hypotenuse}}=\dfrac{BC}{AC}=\dfrac{\textup{base}}{\textup{hypotenuse}}=\cos\textup{ of angle }ACB.

Thus, the ratio is cosine of the acute angle.

7 0
3 years ago
Write the equation of the line that has an undefined slope and passes through the point (4,7).
valentinak56 [21]
<h3>Answer is   x = 4</h3>

There is no y as part of the equation. It is a vertical line through 4 on the x axis. Every point on this line has an x coordinate of 4. Recall that all vertical lines have undefined slopes. I picked 4 because it is the x coordinate of the given point (4,7).

5 0
3 years ago
Read 2 more answers
A. Jill writes 23.43 = 86 and the teacher marked it wrong. Explain Jill's<br> error
lesya [120]

She doesn't have 2 numbers she only has one

6 0
3 years ago
PLease help!!!!! ill give BRAINLIESTT
mariarad [96]
The answer is 6


It’s almost liek a pattern threw out the whole thing
7 0
2 years ago
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