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Montano1993 [528]
3 years ago
9

B is the midpoint ofAC, AB = 4x – 2, BC = 2x + 4. Find the lengths of AB,BC and AC.

Mathematics
1 answer:
Pachacha [2.7K]3 years ago
6 0

if B is the midpoint of AC, that means that B cuts AC in two equal halves, namely  that AB and BC are identical twins.

\bf \boxed{A}\stackrel{4x - 2}{\rule[0.35em]{10em}{0.25pt}} B\stackrel{2x+4}{\rule[0.35em]{10em}{0.25pt}}\boxed{C} \\\\\\ 4x - 2 = 2x + 4\implies 2x-2=4\implies 2x = 6\implies x=\cfrac{6}{2}\implies x = 3 \\\\[-0.35em] ~\dotfill\\\\ \stackrel{AB~=~BC}{4(3)-2= \underline{10}}~\hfill \stackrel{AC = AB+BC}{\underline{10}+\underline{10}=20}

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mafiozo [28]

Answer:

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Step-by-step explanation:

3 0
2 years ago
How do I solve this?
meriva
Hello,

If 3x-1>=0 then

x>=1/3
|3x-1\=3x-1
2*|3x-1|=18
2*(3x-1)=18
6x-2=18
6x=20
x=10/3

else
x<1/3
|3x-1|=-(3x-1)
2*|3x-1|=18
2(-(3x-1))=18
-6x+2=18
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endif


7 0
3 years ago
Solve for y x+2y=6. what's the answer
Luda [366]

Solve for y

x+2y=6

Add (-x) to both sides:

x + 2y + (-x) = 6 + (-x)

Simplify:

2y = 6 - x

  Divide both sides by 2

2y/2 = (6-x) / 2

2y/2 = 6/2 - x/2

  y = 3 - x/2


5 0
3 years ago
Read 2 more answers
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