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WITCHER [35]
3 years ago
5

Points A,B, and C are collinear. Points M and N are the midpoints of segments AB and AC. Prove that BC = 2MN

Mathematics
2 answers:
irinina [24]3 years ago
6 0
Look at the picture.

1)|AM| = |MB| = x
|AN| = |NC| = y
|BC| = 2y - 2x = 2(y - x)
|MN| = y - x
Therefore |BC| = 2|MN|
2)|AM| = |MB| = x
|AN| = |NC| = y

|BC| = 2y - 2x = 2(y - x)
|MN| = y - x
Therefore |BC| = 2|MN|

weqwewe [10]3 years ago
5 0
Hello ! (<span>I attached a picture of the drawing)</span>

<span>First, we draw a line with 3 points B,A,C in this order.Then </span><span>we will note the middle of AB with M and also the middle of AC with N.
</span>
<span></span><span>We can notice that BC = AB + AC
</span>
<span>M - the middle of AB ⇒ AM=MB=AB/2</span>
<span>N - the middle of AC ⇒ AN=NC=AC/2
</span>

<span>We can write MN as AM+AN , which means AB/2 + AC/2 . We can also write AB as BC-AC , so we will have :
</span>
<span>MN = AB/2 + AC/2</span>
<span>MN = (BC-AC)/2 + AC/2</span>
<span>MN = BC/2 - AC/2 + AC/2 ( AC/2 with -AC/2 are reduced)</span>
MN = BC/2    or    BC = 2·MN

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4 0
3 years ago
Ken earned $128 from his part-time job this summer. He spent 25% of his money on games. He is going to donate 1/6 of the remaini
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Answer:

B) $16

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Alright so first you want to take the total amount of money made :

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Next you want to find 25% of this number (or 1/4) and subtract it from the total.

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128 / 4 = 32

So now we take 128 and subtract 32. (32 = 1/4 or 25% of 128)

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Ken now has $96 left over after spending money on games.

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B) $16

I hope this helps! :)

If you are confused or have any questions please comment or dm and I would be happy to help.

Also change the pfp FeelsGoodMan

4 0
2 years ago
Read 2 more answers
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