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zackinator4894
02.10.2020 •
Mathematics
7. A is the midpoint of CT. CA = 7x - 5, CT = 46, find x.
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Ответ:
From the question given above, we were told that A is the midpoint of CT. This simply implies that CA and AT are equal.
Thus,
CT = CA + ATWith the above information in mind, we can obtain the value of x as follow:
CA = 7x - 5
CT = 46
AT = CA
x =?CT = CA + AT
CT = CA + CA
CT = 2CA
46 = 2(7x - 5)
Divide both side by 2
46/2 = 2(7x - 5)
23 = 7x - 5
Collect like terms
23 + 5 = 7x
28 = 7x
Divide both side by 7
x = 28/7
x = 4Therefore, the value of x is 4
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Ответ:
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!
Ответ:
divided it
Step-by-step explanation: