Answered

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3. If B is the midpoint of AC, AB= 2x+6 and AC= 8X-20, then what is BC?

Sagot :

Answer:

BC = 22

Step-by-step explanation:

B is the midpoint of AC:

This means that:

AC = AB + BC

Since B is the midpoint, we also have that the segments AB and BC are equal, then BC = AB

So

AC = AB + BC

AC = AB + AB

AC = 2AB

We have that:

AC = 8x - 20

AB = 2x + 6

So:

AC = 2AB

8x - 20 = 2(2x + 6)

8x - 20 = 2*2x + 2*6

8x - 20 = 4x + 12

8x - 4x = 12 + 20

4x = 32

x = 8

Now, we have that BC = AB, and AB = 2x + 6. So

BC = AB = 2x + 6

Since x = 8

2x + 6 = 2*8 + 6 = 12 + 6 = 22

BC = 22

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