URGENT!

Mathematics

1 answer:

Bess [88]3 years ago

3 0

Answer: 25 units.

Step-by-step explanation:

Given: B is the midpoint of line segment AC.

$\Rightarrow\ AB=\dfrac{AC}{2}$

If $AB = 4x + 1$ and $AC = 5x + 20$ , then we have

$4x+1=\dfrac{5x+20}{2}$

Multiply 2 on both sides, we get

$2(4x+1)=5x+20\\\\\Rightarrow\ 8x+2=5x+20\\\\\Rightarrow\ 8x-5x=20-2\\\\\Rightarrow\ 3x=18\\\\\Rightarrow\ x= 6$

Now, AC = 5(6)+20 =30+20=50 units

Then, BC= $\dfrac{50}{2}=25\text{ units}$

Hence, the length of BC is 25 units.

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