Four line segments are graphed on a coordinate plane. All four lines meet at point E.Line segment Upper A Upper E begins at left parenthesis 0 comma 0 right parenthesis and ends at left parenthesis 4 comma 5 right parenthesis. Line segment Upper B Upper E begins at left parenthesis 3 comma 0 right parenthesis and ends at left parenthesis 4 comma 5 right parenthesis. Line segment Upper C Upper E begins at left parenthesis 6 comma 0 right parenthesis and ends at left parenthesis 4 comma 5 right parenthesis. Line segment Upper D Upper E begins at left parenthesis 9 comma 0 right parenthesis and ends at left parenthesis 4 comma 5 right parenthesis.
Question
Multiple Choice
Use the graph to answer the question.
What is start fraction upper A upper D over upper A upper B end fraction in simplest form?
(1 point)
Responses
start fraction 10 over 3 end fraction
Image with alt text: start fraction 10 over 3 end fraction
start fraction 1 over 3 end fraction
Image with alt text: start fraction 1 over 3 end fraction
Start Fraction 17 over 5 End Fraction
Image with alt text: Start Fraction 17 over 5 End Fraction
3
3
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To find the ratio start fraction upper A upper D over upper A upper B end fraction, we need to find the lengths of line segment AD and line segment AB.
From the graph, we can see that line segment AD starts at (0, 0) and ends at (9, 0), which means the length of AD is 9 - 0 = 9.
Similarly, line segment AB starts at (0, 0) and ends at (3, 0), which means the length of AB is 3 - 0 = 3.
Therefore, the ratio start fraction upper A upper D over upper A upper B end fraction is start fraction 9 over 3 end fraction, which simplifies to start fraction 3 over 1 end fraction or simply 3.
So, the correct answer is 3.