7. A is the midpoint of CT. CA = 7x – 5, CT = 46, find x.​

7. A is the midpoint of CT. CA = 7x – 5, CT = 46, find x.​

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  1. Answer:

    The correct answer is x = 4.

    Step-by-step explanation:

    If A is the midpoint of CT, this means that CA is equal to AT.  This also lets us know that CA is half of CT.  This lets us write the following equation:

    CA = 1/2(CT)

    Now, we can substitute the values we are given into the equation above.

    7x – 5 = 1/2 * (46)

    If we simplify the right side of the equation, we get:

    7x – 5 = 23

    The next step is to add 5 to both sides of the equation.  This gives us:

    7x = 28

    Finally, we can divide both sides of the equation by 7.

    x = 4

    Therefore, the answer is x = 4.

    Hope this helps!

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