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svet-max [94.6K]
3 years ago
12

Point B is the midpoint of AC. AB=3x and AC=5x+21 . What is the value of AB?

Mathematics
1 answer:
irga5000 [103]3 years ago
7 0

First, let's write down what we know.

AB = 3x

AC = 5x+21

Since B is the midpoint, AB is half the length of AC. The sum of AB + AB is equal to the length of AC.

AB + AB = AC

Let's plug in our values.

3x + 3x = 5x + 21

Simplify the left side.

6x = 5x + 21

Subtract 5x from both sides.

x = 21

Now, let's plug in 21 for x in AB

AB = 3x = 3(21) = 63

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