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jarptica [38.1K]
3 years ago
11

If b is the midpoint of line AC, and AC = 8x-20, find BC.​

Mathematics
1 answer:
Elodia [21]3 years ago
6 0

The Definition Of a Midpoint says that is B is the

midpoint of segment AC, then segment AB ≅ AC.

Since segment AB ≅ segment BC, we can setup

the equation 2(3x - 1) = 8x - 20 and we can solve from here.

Start by distributing the 3 through the parenthses on the left side.

So we get 6x - 2 = 8x - 20.

Now subtract 8x from both sides to get -2x - 2 = -20.

Now add 2 to both sides and we have -2x = -18.

Finally, dividing both sides by -2, we find that x = 9.

If x = 9, segment BC must be 3(9) - 1 or 27 - 1 which is 26.

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Answer:

r>-7

Step-by-step explanation:

Solving an inequality is similar to solving an equation. To solve for r, isolate it. Whatever you do to one side, do to the other. Remember that a negative and a negative equal a positive, thus one side of the inequality becomes r + 5. Then, subtract both sides by -5 to find the answer.

r-(-5) >-2\\r+5>-2\\r>-7

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3 years ago
What is two over twelve + four over nine
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Answer:

2/3

Step-by-step explanation:

2/12+4/9

Find a common denominator

16/72+ 32/72

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Hope this helps

3 0
3 years ago
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BaLLatris [955]

Answer:

\dfrac{38}{3}

Step-by-step explanation:

12\dfrac{2}{3} =

= 12 + \dfrac{2}{3}

= \dfrac{12}{1} + \dfrac{2}{3}

= \dfrac{12}{1} \times \dfrac{3}{3} + \dfrac{2}{3}

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4 0
3 years ago
Apply the distributive property to factor out the greatest common factor 22c+33d
Tems11 [23]
What you need to do is find a common multiple which is 11, Then you divide 22c and 33d by 11 so you get 2c and 3d Then since there is an addition sign you put 2c and 3d is () 
The Final answer is
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3 years ago
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