Given M is the midpoint of AB, AM=2x +1 and MB= 3X- 2.
Find x and AM?
Answers
Answer:
x = 3 is the right answer
Answer: AM = 2x + 1, and MB = 3x - 2.
Step-by-step explanation:
We are given that M is the midpoint of AB, which means that AM and MB are equal in length. We are also given that AM = 2x + 1 and MB = 3x - 2.
Since M is the midpoint of AB, we can set up an equation to find x:
AM = MB
2x + 1 = 3x - 2
Solving for x, we get:
2x + 1 = 3x - 2
2x - 3x = -2 - 1
-x = -3
x = 3
Therefore, x is equal to 3.
To find the value of AM, we can substitute x = 3 into the equation for AM:
AM = 2x + 1
AM = 2(3) + 1
AM = 6 + 1
AM = 7
Therefore, the value of AM is 7.
In summary, we have found that x is equal to 3 and AM is equal to 7, based on the given information that M is the midpoint of AB, AM = 2x + 1, and MB = 3x - 2.
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