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question 6 m is the mid - point of ab. am = 2x + 3, mb = 13 what is the…

Question

question 6
m is the mid - point of ab.
am = 2x + 3, mb = 13
what is the value of x?
question 7
a 21x - 12 m 7x + 44 b
if m is the mid - point of ab, what is the length of ab?

Explanation:

Step1: Use mid - point property

Since M is the mid - point of AB, then $AM = MB$. Given $AM=2x + 3$ and $MB = 13$, we set up the equation $2x+3=13$.

Step2: Solve the equation for x

Subtract 3 from both sides: $2x=13 - 3$, so $2x=10$. Then divide both sides by 2: $x=\frac{10}{2}=5$.

Answer:

5