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Butoxors [25]
3 years ago
11

How can finding the slopes of MN and AB help in proving that MN is the midsegment of triangle ABC?

Mathematics
2 answers:
Ulleksa [173]3 years ago
6 0

Answer:   The slopes of two parallel lines are equal.


Step-by-step explanation: Let m_{1} and m_{2} be the slopes of lines AB and MN respectively. We know that if the slopes of two parallel lines are equal, then the lines must be parallel. Thus, if we get           m_{1}=m_{2} , then AB is parallel to MN. Also, if we already have M and N as the mid-points of AC and BC, the with the help of slopes of AB and MN, we arrive at our proof that MN is the mid-segment of Triangle ABC. Please see the figure for details.


Mademuasel [1]3 years ago
4 0
Mid-segment and bottom side of the triangle is always parallel to each other, and parallel lines must have same slopes, so if their slopes are equal, then MN would be mid-segment of side AB in Triangle ABC

Hope this helps!
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If an image is to be reflected in the line y = x and the x-axis, does the order of the reflections affect the final image? Expla
OverLord2011 [107]

Answer:

Affects

Step-by-step explanation:

Consider point (2,-1).

1. Reflect it in the line y=x, then the image point will have coordinates (-1,2). Now reflect it in the x-axis, then the image point will have coordinates (-1,-2).

2. Reflect the point (2,-1) in the x-axis. Its image is point (2,1). Reflect this point in the line y=x, then its image will be point (1,2).

Since images in 1st case and 2nd case differ, the order affects the final image.

4 0
3 years ago
|x-3|+5 <br> i need to find out the absolute value
Assoli18 [71]
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7 0
3 years ago
Read 2 more answers
4x²-y²=171 and 2x-y=9, value of 2x+y
11111nata11111 [884]
So you will need to solve for x and y before evaluating 2x+y....

2x-y=9, y=2x-9  now this will make 4x^2-y^2=171 become:

4x^2-(2x-9)^2=171

4x^2-(4x^2-36x+81)=171

36x-81=171

36x=252

x=7, now we can use 2x-y=9 to solve for y...

2(7)-y=9

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19
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3 0
2 years ago
What is the solution to this system of equations y=x-2 y=-0.5x+4
gladu [14]

Answer:

Substitute y=x-2y=x−2 into y=-0.5x+4y=−0.5x+4.

x-2=-0.5x+4x−2=−0.5x+4

2 Solve for xx in x-2=-0.5x+4x−2=−0.5x+4.

x=4x=4

3 Substitute x=4x=4 into y=x-2y=x−2.

y=2y=2

4 Therefore,

\begin{aligned}&x=4\\&y=2\end{aligned}

​

​

​​  

​x=4

​y=2

​​  

Step-by-step explanation:

6 0
2 years ago
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