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In the parallelogram ABCD, find the value of \( y \). **Diagram Description:** The diagram illustrates a parallelogram ABCD, with diagonals AC and BD intersecting at a point. The expressions along the diagonals are as follows: - On diagonal AC: The segment from A to the intersection point is labeled \( 4x - 2 \) and the segment from the intersection point to C is labeled \( x + 28 \). - On diagonal BD: The segment from B to the intersection point is labeled \( y + 14 \) and the segment from the intersection point to D is labeled \( 4y - 7 \). **Note:** - The diagram is not to scale. - Only type in the value for \( y \).

In the parallelogram ABCD, find the value of \( y \). **Diagram Description:** The diagram illustrates a parallelogram ABCD, with diagonals AC and BD intersecting at a point. The expressions along the diagonals are as follows: - On diagonal AC: The segment from A to the intersection point is labeled \( 4x - 2 \) and the segment from the intersection point to C is labeled \( x + 28 \). - On diagonal BD: The segment from B to the intersection point is labeled \( y + 14 \) and the segment from the intersection point to D is labeled \( 4y - 7 \). **Note:** - The diagram is not to scale. - Only type in the value for \( y \).

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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In the parallelogram ABCD, find the value of \( y \). **Diagram Description:** The diagram illustrates a parallelogram ABCD, with diagonals AC and BD intersecting at a point. The expressions along the diagonals are as follows: - On diagonal AC: The segment from A to the intersection point is labeled \( 4x - 2 \) and the segment from the intersection point to C is labeled \( x + 28 \). - On diagonal BD: The segment from B to the intersection point is labeled \( y + 14 \) and the segment from the intersection point to D is labeled \( 4y - 7 \). **Note:** - The diagram is not to scale. - Only type in the value for \( y \).
Transcribed Image Text:In the parallelogram ABCD, find the value of \( y \). **Diagram Description:** The diagram illustrates a parallelogram ABCD, with diagonals AC and BD intersecting at a point. The expressions along the diagonals are as follows: - On diagonal AC: The segment from A to the intersection point is labeled \( 4x - 2 \) and the segment from the intersection point to C is labeled \( x + 28 \). - On diagonal BD: The segment from B to the intersection point is labeled \( y + 14 \) and the segment from the intersection point to D is labeled \( 4y - 7 \). **Note:** - The diagram is not to scale. - Only type in the value for \( y \).
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