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If AD = 13 and AC = 4y − 50, find the value of y. Then find AC and DC.

User Eiconic
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Final answer:

With the information given, it's currently not possible to determine the value of y, as we require the length of DC or additional relations between AD and AC to proceed.

Step-by-step explanation:

To find the value of y when AD = 13 and AC = 4y − 50, we assume that AD and AC represent lengths in geometry and that points A, D, and C are collinear with D lying between A and C. Knowing this, the sum of lengths AD and DC should equal AC. Hence, we form the equation AD + DC = AC. To solve for y, we need to know the length of DC. However, with the information given, it is not possible to solve for y directly since we lack an expression or value for DC.

Without the length of DC, or additional information, we cannot proceed to find the value of y. It would appear there is a typo or missing information in the problem as presented. To fully solve the issue, we would need either the length of DC or information that implies AC and AD are the same or how they relate to one another in terms of length.

If the problem implies that AD is the full length from A to D, and if AC is indeed the full length from A to C, without further information regarding DC, we only know that AC = AD + DC, but cannot derive the separate lengths.

User Greg Lafrance
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