Refer to the figure below to complete the following item. Given: Quadrilateral ROSE is trapezoid with median If MN = 24 and ES = 10, then RO = 27 30 38

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18 is you answer. Hope this helps.

Answer:

The length of RO is 38.

Step-by-step explanation:

Given information: ROSE is trapezoid with median If MN = 24 and ES = 10.

Sufficient information is not given. This question can be solved if it is given that  [tex]RO\parallel ES[/tex].

According to the properties of trapezoid the length of the median is the average of length of parallel sides.

Let [tex]RO\parallel ES[/tex] and length of RO be x.

Since MN is median, therefore

[tex]MN=\frac{RO+ES}{2}[/tex]

[tex]24=\frac{x+10}{2}[/tex]

[tex]48=x+10[/tex]

[tex]x=38[/tex]

Therefore length of RO is 38.

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