Answer:
The two shorter sides have to be equal and the two longer sides have to be equal.
Step-by-step explanation:
the answer is the third choice
Answer:
(2^3)^7
Step-by-step explanation:
Answer:
<em>The length of RS is 47 units</em>
Step-by-step explanation:
<u>Midsegment Theorem</u>
The midsegment of a trapezoid is a line segment that connects the midpoints of the non-parallel sides.
The length of the midsegment of a trapezoid is the average of the lengths of the bases.
The midsegment of the given trapezoid is VW, and the bases are RS and UT.
According to the midsegment theorem:
![\displaystyle VW=\frac{RS+UT}{2}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20VW%3D%5Cfrac%7BRS%2BUT%7D%7B2%7D)
Substituting the variable lengths of the sides:
![\displaystyle 3x+5=\frac{2x+15+6x-37}{2}](https://tex.z-dn.net/?f=%5Cdisplaystyle%203x%2B5%3D%5Cfrac%7B2x%2B15%2B6x-37%7D%7B2%7D)
Operating:
![\displaystyle 3x+5=\frac{8x-22}{2}](https://tex.z-dn.net/?f=%5Cdisplaystyle%203x%2B5%3D%5Cfrac%7B8x-22%7D%7B2%7D)
Dividing the fraction:
![3x+5=4x-11](https://tex.z-dn.net/?f=3x%2B5%3D4x-11)
Rearranging:
![4x-3x=5+11](https://tex.z-dn.net/?f=4x-3x%3D5%2B11)
Operating:
x=16
The length of RS is:
![RS=2x+15=2*16+15=32+15=47](https://tex.z-dn.net/?f=RS%3D2x%2B15%3D2%2A16%2B15%3D32%2B15%3D47)
The lenght of RS is 47 units