Ok imma not sure exactly how you would put this in but this is the answer:
Answer:
DE = 27
Step-by-step explanation:
From the picture attached,
Points D and E are the midpoints of the segments AC and BC and DE is the mid-segment joining these points.
By the mid-segment theorem,
A segment joining midpoints of the two sides of a triangle is parallel to the third side. length of mid-segment is half of the 3rd side in measure.
DC = ![\frac{1}{2}\text{AB}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%5Ctext%7BAB%7D)
(2x + 13) = ![\frac{1}{2}(13x-37)](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%2813x-37%29)
2(2x + 13) = (13x - 37)
4x + 26 = 13x - 37
13x - 4x = 26 + 37
9x = 63
x = 7
DE = 2x + 13
= 2(7) + 13
= 14 + 13
= 27
5/6, 7/9, 3/5 make all have a common denominator of the LCM, 90 in this case:
(5/6)(15/15), (7/9)(10/10), (3/5)(18/18)
75/90, 70/90, 54/90
So now it should be clear which fraction are greater than others...
3/5, 7/9, 5/6 (from least to greatest)
No because the rate of change of velocity of a moving body is acceleration