M is the midpoint of AB. If MA = 4x and AB = 7x + 2, find x, AM, MB, and AB.

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asked Apr 5, 2024 86.4k views

1 Answer

Ratery · Answer 1 · 2024-04-09T06:23:03+0000

To find x, divide AB by 2, equal it to 4x and solve for x. Then substitute the value of x into the expressions for AM, MB, and AB.

To find x, we can set up an equation using the fact that M is the midpoint of AB. Since M is the midpoint, AM = MB. So, we have 4x = (7x + 2) / 2.

To solve for x, we can multiply both sides of the equation by 2 to get rid of the fraction. This gives us 8x = 7x + 2.

Subtracting 7x from both sides, we get x = 2.

Now that we have found x, we can substitute it back into the expressions for AM, MB, and AB. AM = 4(2) = 8, MB = 8, and AB = 7(2) + 2 = 16.