Answer: Since B is the midpoint of AC, we can write:
AB + BC = AC
Substitute the given expressions:
AB + (4x + 3) = 10x + 2
Now, we can solve for AB:
AB = 10x + 2 - (4x + 3) AB = 6x - 1
However, we need to find a numerical value for AB. Let's try to find a value that satisfies the given expressions.
Notice that if x = 1, then:
BC = 4x + 3 = 4(1) + 3 = 7 AC = 10x + 2 = 10(1) + 2 = 12
Since B is the midpoint of AC, we can write:
AB = BC = 7
So, the correct answer is:
D. AB = 6 (not exactly, but closest to 6)
Step-by-step explanation:
