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Suppose line CD bisects segment AB at point M. If AM = 9x + 5 and AB = 30 what is the value of x? Round to the nearest hundredth if needed

Suppose line CD bisects segment AB at point M. If AM = 9x + 5 and AB = 30 what is the value of x? Round to the nearest hundredth if needed

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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Suppose line CD bisects segment AB at point M. If AM = 9x + 5 and AB = 30 what is the value of x? Round to the nearest hundredth if needed

The diagram shows a line segment AB with a perpendicular bisector MD. Points A and B are located at each end of the line segment. The segment AB is bisected by line MD at point M. This is indicated by the red marks on segments AM and MB, which imply that AM is congruent to MB. Line MD is perpendicular to AB at point M. The arrows on line MD suggest that it extends infinitely in both directions. Points C and D are located on the line MD, with arrows pointing away from each other. Key elements of the diagram: - **Points A and B**: Endpoints of line segment AB. - **Point M**: The midpoint of segment AB, where line MD intersects AB. - **Line MD**: A perpendicular bisector that divides AB into two equal parts. - **Segments AM and MB**: Equal in length, as indicated by the red congruent marks. - **Points C and D**: Points on line MD, with directional arrows showing the extension of line MD. This setup illustrates the concept of perpendicular bisectors in geometry, which are lines that divide a line segment into two equal parts at a right angle.
Transcribed Image Text:The diagram shows a line segment AB with a perpendicular bisector MD. Points A and B are located at each end of the line segment. The segment AB is bisected by line MD at point M. This is indicated by the red marks on segments AM and MB, which imply that AM is congruent to MB. Line MD is perpendicular to AB at point M. The arrows on line MD suggest that it extends infinitely in both directions. Points C and D are located on the line MD, with arrows pointing away from each other. Key elements of the diagram: - **Points A and B**: Endpoints of line segment AB. - **Point M**: The midpoint of segment AB, where line MD intersects AB. - **Line MD**: A perpendicular bisector that divides AB into two equal parts. - **Segments AM and MB**: Equal in length, as indicated by the red congruent marks. - **Points C and D**: Points on line MD, with directional arrows showing the extension of line MD. This setup illustrates the concept of perpendicular bisectors in geometry, which are lines that divide a line segment into two equal parts at a right angle.
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